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Finding the Third Proportional to 961,654 and 1,522,755

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Solution

The third proportional to 961,654 and 1,522,755 is: 2,411,244.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,654 : 1,522,755 = 1,522,755 : x
  2. Step 2: Convert to fraction form
    961,654/1,522,755 = 1,522,755/x
  3. Step 3: Cross multiply
    961,654x = 1,522,755 × 1,522,755
  4. Step 4: Simplify right side
    961,654x = 2,318,782,790,025
  5. Step 5: Solve for x
    x = 2,318,782,790,025/961,654
  6. Step 6: Final answer
    x = 2,411,244.37

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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.