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Finding the Third Proportional to 961,610.48 and 1,522,686.09

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Solution

The third proportional to 961,610.48 and 1,522,686.09 is: 2,411,135.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,610.48 : 1,522,686.09 = 1,522,686.09 : x
  2. Step 2: Convert to fraction form
    961,610.48/1,522,686.09 = 1,522,686.09/x
  3. Step 3: Cross multiply
    961,610.48x = 1,522,686.09 × 1,522,686.09
  4. Step 4: Simplify right side
    961,610.48x = 2,318,572,940,099.63
  5. Step 5: Solve for x
    x = 2,318,572,940,099.63/961,610.48
  6. Step 6: Final answer
    x = 2,411,135.25

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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.