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Finding the Third Proportional to 714,456.50 and 1,541,087.50

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Solution

The third proportional to 714,456.50 and 1,541,087.50 is: 3,324,136.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,456.50 : 1,541,087.50 = 1,541,087.50 : x
  2. Step 2: Convert to fraction form
    714,456.50/1,541,087.50 = 1,541,087.50/x
  3. Step 3: Cross multiply
    714,456.50x = 1,541,087.50 × 1,541,087.50
  4. Step 4: Simplify right side
    714,456.50x = 2,374,950,682,656.25
  5. Step 5: Solve for x
    x = 2,374,950,682,656.25/714,456.50
  6. Step 6: Final answer
    x = 3,324,136.15

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.