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Finding the Third Proportional to 787,677 and 1,727,837

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Solution

The third proportional to 787,677 and 1,727,837 is: 3,790,158.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,677 : 1,727,837 = 1,727,837 : x
  2. Step 2: Convert to fraction form
    787,677/1,727,837 = 1,727,837/x
  3. Step 3: Cross multiply
    787,677x = 1,727,837 × 1,727,837
  4. Step 4: Simplify right side
    787,677x = 2,985,420,698,569
  5. Step 5: Solve for x
    x = 2,985,420,698,569/787,677
  6. Step 6: Final answer
    x = 3,790,158.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.