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Finding the Third Proportional to 754,809 and 1,142,026.50

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Solution

The third proportional to 754,809 and 1,142,026.50 is: 1,727,886.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,809 : 1,142,026.50 = 1,142,026.50 : x
  2. Step 2: Convert to fraction form
    754,809/1,142,026.50 = 1,142,026.50/x
  3. Step 3: Cross multiply
    754,809x = 1,142,026.50 × 1,142,026.50
  4. Step 4: Simplify right side
    754,809x = 1,304,224,526,702.25
  5. Step 5: Solve for x
    x = 1,304,224,526,702.25/754,809
  6. Step 6: Final answer
    x = 1,727,886.83

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.