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Finding the Third Proportional to 783,737 and 1,172,566

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Solution

The third proportional to 783,737 and 1,172,566 is: 1,754,301.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,737 : 1,172,566 = 1,172,566 : x
  2. Step 2: Convert to fraction form
    783,737/1,172,566 = 1,172,566/x
  3. Step 3: Cross multiply
    783,737x = 1,172,566 × 1,172,566
  4. Step 4: Simplify right side
    783,737x = 1,374,911,024,356
  5. Step 5: Solve for x
    x = 1,374,911,024,356/783,737
  6. Step 6: Final answer
    x = 1,754,301.54

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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.