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Finding the Third Proportional to 876,521.25 and 1,314,781.88

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Solution

The third proportional to 876,521.25 and 1,314,781.88 is: 1,972,172.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,521.25 : 1,314,781.88 = 1,314,781.88 : x
  2. Step 2: Convert to fraction form
    876,521.25/1,314,781.88 = 1,314,781.88/x
  3. Step 3: Cross multiply
    876,521.25x = 1,314,781.88 × 1,314,781.88
  4. Step 4: Simplify right side
    876,521.25x = 1,728,651,378,828.52
  5. Step 5: Solve for x
    x = 1,728,651,378,828.52/876,521.25
  6. Step 6: Final answer
    x = 1,972,172.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.