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Finding the Third Proportional to 747,513 and 1,121,037

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Solution

The third proportional to 747,513 and 1,121,037 is: 1,681,206.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,513 : 1,121,037 = 1,121,037 : x
  2. Step 2: Convert to fraction form
    747,513/1,121,037 = 1,121,037/x
  3. Step 3: Cross multiply
    747,513x = 1,121,037 × 1,121,037
  4. Step 4: Simplify right side
    747,513x = 1,256,723,955,369
  5. Step 5: Solve for x
    x = 1,256,723,955,369/747,513
  6. Step 6: Final answer
    x = 1,681,206.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.