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Finding the Third Proportional to 731,904 and 1,142,123

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Solution

The third proportional to 731,904 and 1,142,123 is: 1,782,262.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,904 : 1,142,123 = 1,142,123 : x
  2. Step 2: Convert to fraction form
    731,904/1,142,123 = 1,142,123/x
  3. Step 3: Cross multiply
    731,904x = 1,142,123 × 1,142,123
  4. Step 4: Simplify right side
    731,904x = 1,304,444,947,129
  5. Step 5: Solve for x
    x = 1,304,444,947,129/731,904
  6. Step 6: Final answer
    x = 1,782,262.36

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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.