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Finding the Third Proportional to 756,869 and 1,138,463

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Solution

The third proportional to 756,869 and 1,138,463 is: 1,712,446.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,869 : 1,138,463 = 1,138,463 : x
  2. Step 2: Convert to fraction form
    756,869/1,138,463 = 1,138,463/x
  3. Step 3: Cross multiply
    756,869x = 1,138,463 × 1,138,463
  4. Step 4: Simplify right side
    756,869x = 1,296,098,002,369
  5. Step 5: Solve for x
    x = 1,296,098,002,369/756,869
  6. Step 6: Final answer
    x = 1,712,446.94

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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.