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Finding the Third Proportional to 717,750 and 1,565,901

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Solution

The third proportional to 717,750 and 1,565,901 is: 3,416,295.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,750 : 1,565,901 = 1,565,901 : x
  2. Step 2: Convert to fraction form
    717,750/1,565,901 = 1,565,901/x
  3. Step 3: Cross multiply
    717,750x = 1,565,901 × 1,565,901
  4. Step 4: Simplify right side
    717,750x = 2,452,045,941,801
  5. Step 5: Solve for x
    x = 2,452,045,941,801/717,750
  6. Step 6: Final answer
    x = 3,416,295.29

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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.