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Finding the Third Proportional to 717,891 and 1,566,184.50

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Solution

The third proportional to 717,891 and 1,566,184.50 is: 3,416,861.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,891 : 1,566,184.50 = 1,566,184.50 : x
  2. Step 2: Convert to fraction form
    717,891/1,566,184.50 = 1,566,184.50/x
  3. Step 3: Cross multiply
    717,891x = 1,566,184.50 × 1,566,184.50
  4. Step 4: Simplify right side
    717,891x = 2,452,933,888,040.25
  5. Step 5: Solve for x
    x = 2,452,933,888,040.25/717,891
  6. Step 6: Final answer
    x = 3,416,861.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.