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Finding the Third Proportional to 510,989.13 and 1,106,630.54

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Solution

The third proportional to 510,989.13 and 1,106,630.54 is: 2,396,589.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,989.13 : 1,106,630.54 = 1,106,630.54 : x
  2. Step 2: Convert to fraction form
    510,989.13/1,106,630.54 = 1,106,630.54/x
  3. Step 3: Cross multiply
    510,989.13x = 1,106,630.54 × 1,106,630.54
  4. Step 4: Simplify right side
    510,989.13x = 1,224,631,158,631.42
  5. Step 5: Solve for x
    x = 1,224,631,158,631.42/510,989.13
  6. Step 6: Final answer
    x = 2,396,589.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.