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Finding the Third Proportional to 717,881 and 1,566,165

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Solution

The third proportional to 717,881 and 1,566,165 is: 3,416,823.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,881 : 1,566,165 = 1,566,165 : x
  2. Step 2: Convert to fraction form
    717,881/1,566,165 = 1,566,165/x
  3. Step 3: Cross multiply
    717,881x = 1,566,165 × 1,566,165
  4. Step 4: Simplify right side
    717,881x = 2,452,872,807,225
  5. Step 5: Solve for x
    x = 2,452,872,807,225/717,881
  6. Step 6: Final answer
    x = 3,416,823.69

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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.