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Finding the Third Proportional to 762,647.91 and 1,180,862.30

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Solution

The third proportional to 762,647.91 and 1,180,862.30 is: 1,828,413.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,647.91 : 1,180,862.30 = 1,180,862.30 : x
  2. Step 2: Convert to fraction form
    762,647.91/1,180,862.30 = 1,180,862.30/x
  3. Step 3: Cross multiply
    762,647.91x = 1,180,862.30 × 1,180,862.30
  4. Step 4: Simplify right side
    762,647.91x = 1,394,435,764,180.90
  5. Step 5: Solve for x
    x = 1,394,435,764,180.90/762,647.91
  6. Step 6: Final answer
    x = 1,828,413.55

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Why These Related Problems?

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