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Finding the Third Proportional to 510,738,773.63 and 1,062,239,683.50

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Solution

The third proportional to 510,738,773.63 and 1,062,239,683.50 is: 2,209,256,871.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,738,773.63 : 1,062,239,683.50 = 1,062,239,683.50 : x
  2. Step 2: Convert to fraction form
    510,738,773.63/1,062,239,683.50 = 1,062,239,683.50/x
  3. Step 3: Cross multiply
    510,738,773.63x = 1,062,239,683.50 × 1,062,239,683.50
  4. Step 4: Simplify right side
    510,738,773.63x = 1,128,353,145,202,180,224
  5. Step 5: Solve for x
    x = 1,128,353,145,202,180,224/510,738,773.63
  6. Step 6: Final answer
    x = 2,209,256,871.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.