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Finding the Third Proportional to 744,692 and 1,607,463

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Solution

The third proportional to 744,692 and 1,607,463 is: 3,469,806.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,692 : 1,607,463 = 1,607,463 : x
  2. Step 2: Convert to fraction form
    744,692/1,607,463 = 1,607,463/x
  3. Step 3: Cross multiply
    744,692x = 1,607,463 × 1,607,463
  4. Step 4: Simplify right side
    744,692x = 2,583,937,296,369
  5. Step 5: Solve for x
    x = 2,583,937,296,369/744,692
  6. Step 6: Final answer
    x = 3,469,806.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.