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Finding the Third Proportional to 762,912 and 1,181,952

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Solution

The third proportional to 762,912 and 1,181,952 is: 1,831,155.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,912 : 1,181,952 = 1,181,952 : x
  2. Step 2: Convert to fraction form
    762,912/1,181,952 = 1,181,952/x
  3. Step 3: Cross multiply
    762,912x = 1,181,952 × 1,181,952
  4. Step 4: Simplify right side
    762,912x = 1,397,010,530,304
  5. Step 5: Solve for x
    x = 1,397,010,530,304/762,912
  6. Step 6: Final answer
    x = 1,831,155.53

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.