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Finding the Third Proportional to 787,586 and 1,717,720

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Solution

The third proportional to 787,586 and 1,717,720 is: 3,746,336.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,586 : 1,717,720 = 1,717,720 : x
  2. Step 2: Convert to fraction form
    787,586/1,717,720 = 1,717,720/x
  3. Step 3: Cross multiply
    787,586x = 1,717,720 × 1,717,720
  4. Step 4: Simplify right side
    787,586x = 2,950,561,998,400
  5. Step 5: Solve for x
    x = 2,950,561,998,400/787,586
  6. Step 6: Final answer
    x = 3,746,336.27

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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.