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Finding the Third Proportional to 1,253,517 and 1,937,781

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Solution

The third proportional to 1,253,517 and 1,937,781 is: 2,995,567.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253,517 : 1,937,781 = 1,937,781 : x
  2. Step 2: Convert to fraction form
    1,253,517/1,937,781 = 1,937,781/x
  3. Step 3: Cross multiply
    1,253,517x = 1,937,781 × 1,937,781
  4. Step 4: Simplify right side
    1,253,517x = 3,754,995,203,961
  5. Step 5: Solve for x
    x = 3,754,995,203,961/1,253,517
  6. Step 6: Final answer
    x = 2,995,567.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.