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Finding the Third Proportional to 591,876 and 961,605

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Solution

The third proportional to 591,876 and 961,605 is: 1,562,293.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,876 : 961,605 = 961,605 : x
  2. Step 2: Convert to fraction form
    591,876/961,605 = 961,605/x
  3. Step 3: Cross multiply
    591,876x = 961,605 × 961,605
  4. Step 4: Simplify right side
    591,876x = 924,684,176,025
  5. Step 5: Solve for x
    x = 924,684,176,025/591,876
  6. Step 6: Final answer
    x = 1,562,293.75

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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.