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Finding the Third Proportional to 700,180 and 1,536,512

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Solution

The third proportional to 700,180 and 1,536,512 is: 3,371,803.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,180 : 1,536,512 = 1,536,512 : x
  2. Step 2: Convert to fraction form
    700,180/1,536,512 = 1,536,512/x
  3. Step 3: Cross multiply
    700,180x = 1,536,512 × 1,536,512
  4. Step 4: Simplify right side
    700,180x = 2,360,869,126,144
  5. Step 5: Solve for x
    x = 2,360,869,126,144/700,180
  6. Step 6: Final answer
    x = 3,371,803.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.