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Finding the Third Proportional to 717,823.50 and 1,577,160.75

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Solution

The third proportional to 717,823.50 and 1,577,160.75 is: 3,465,247.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,823.50 : 1,577,160.75 = 1,577,160.75 : x
  2. Step 2: Convert to fraction form
    717,823.50/1,577,160.75 = 1,577,160.75/x
  3. Step 3: Cross multiply
    717,823.50x = 1,577,160.75 × 1,577,160.75
  4. Step 4: Simplify right side
    717,823.50x = 2,487,436,031,340.56
  5. Step 5: Solve for x
    x = 2,487,436,031,340.56/717,823.50
  6. Step 6: Final answer
    x = 3,465,247.42

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.