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Finding the Third Proportional to 731,900.25 and 1,142,118

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Solution

The third proportional to 731,900.25 and 1,142,118 is: 1,782,255.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,900.25 : 1,142,118 = 1,142,118 : x
  2. Step 2: Convert to fraction form
    731,900.25/1,142,118 = 1,142,118/x
  3. Step 3: Cross multiply
    731,900.25x = 1,142,118 × 1,142,118
  4. Step 4: Simplify right side
    731,900.25x = 1,304,433,525,924
  5. Step 5: Solve for x
    x = 1,304,433,525,924/731,900.25
  6. Step 6: Final answer
    x = 1,782,255.88

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.