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Finding the Third Proportional to 961,651 and 1,522,751

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Solution

The third proportional to 961,651 and 1,522,751 is: 2,411,239.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,651 : 1,522,751 = 1,522,751 : x
  2. Step 2: Convert to fraction form
    961,651/1,522,751 = 1,522,751/x
  3. Step 3: Cross multiply
    961,651x = 1,522,751 × 1,522,751
  4. Step 4: Simplify right side
    961,651x = 2,318,770,608,001
  5. Step 5: Solve for x
    x = 2,318,770,608,001/961,651
  6. Step 6: Final answer
    x = 2,411,239.22

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.