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Finding the Third Proportional to 591,747 and 961,386

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Solution

The third proportional to 591,747 and 961,386 is: 1,561,922.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,747 : 961,386 = 961,386 : x
  2. Step 2: Convert to fraction form
    591,747/961,386 = 961,386/x
  3. Step 3: Cross multiply
    591,747x = 961,386 × 961,386
  4. Step 4: Simplify right side
    591,747x = 924,263,040,996
  5. Step 5: Solve for x
    x = 924,263,040,996/591,747
  6. Step 6: Final answer
    x = 1,561,922.65

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.