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Finding the Third Proportional to 762,416 and 1,121,448

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Solution

The third proportional to 762,416 and 1,121,448 is: 1,649,553.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,416 : 1,121,448 = 1,121,448 : x
  2. Step 2: Convert to fraction form
    762,416/1,121,448 = 1,121,448/x
  3. Step 3: Cross multiply
    762,416x = 1,121,448 × 1,121,448
  4. Step 4: Simplify right side
    762,416x = 1,257,645,616,704
  5. Step 5: Solve for x
    x = 1,257,645,616,704/762,416
  6. Step 6: Final answer
    x = 1,649,553.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.