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Finding the Third Proportional to 717,877 and 1,566,157

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Solution

The third proportional to 717,877 and 1,566,157 is: 3,416,807.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,877 : 1,566,157 = 1,566,157 : x
  2. Step 2: Convert to fraction form
    717,877/1,566,157 = 1,566,157/x
  3. Step 3: Cross multiply
    717,877x = 1,566,157 × 1,566,157
  4. Step 4: Simplify right side
    717,877x = 2,452,847,748,649
  5. Step 5: Solve for x
    x = 2,452,847,748,649/717,877
  6. Step 6: Final answer
    x = 3,416,807.82

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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.