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Finding the Third Proportional to 754,811.50 and 1,142,032

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Solution

The third proportional to 754,811.50 and 1,142,032 is: 1,727,897.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,811.50 : 1,142,032 = 1,142,032 : x
  2. Step 2: Convert to fraction form
    754,811.50/1,142,032 = 1,142,032/x
  3. Step 3: Cross multiply
    754,811.50x = 1,142,032 × 1,142,032
  4. Step 4: Simplify right side
    754,811.50x = 1,304,237,089,024
  5. Step 5: Solve for x
    x = 1,304,237,089,024/754,811.50
  6. Step 6: Final answer
    x = 1,727,897.75

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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.