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Finding the Third Proportional to 961,648.88 and 1,522,747.88

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Solution

The third proportional to 961,648.88 and 1,522,747.88 is: 2,411,234.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,648.88 : 1,522,747.88 = 1,522,747.88 : x
  2. Step 2: Convert to fraction form
    961,648.88/1,522,747.88 = 1,522,747.88/x
  3. Step 3: Cross multiply
    961,648.88x = 1,522,747.88 × 1,522,747.88
  4. Step 4: Simplify right side
    961,648.88x = 2,318,761,090,817.02
  5. Step 5: Solve for x
    x = 2,318,761,090,817.02/961,648.88
  6. Step 6: Final answer
    x = 2,411,234.65

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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.