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Finding the Third Proportional to 783,732 and 1,172,559

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Solution

The third proportional to 783,732 and 1,172,559 is: 1,754,291.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,732 : 1,172,559 = 1,172,559 : x
  2. Step 2: Convert to fraction form
    783,732/1,172,559 = 1,172,559/x
  3. Step 3: Cross multiply
    783,732x = 1,172,559 × 1,172,559
  4. Step 4: Simplify right side
    783,732x = 1,374,894,608,481
  5. Step 5: Solve for x
    x = 1,374,894,608,481/783,732
  6. Step 6: Final answer
    x = 1,754,291.78

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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.