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Finding the Third Proportional to 787,677 and 1,727,835

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Solution

The third proportional to 787,677 and 1,727,835 is: 3,790,149.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,677 : 1,727,835 = 1,727,835 : x
  2. Step 2: Convert to fraction form
    787,677/1,727,835 = 1,727,835/x
  3. Step 3: Cross multiply
    787,677x = 1,727,835 × 1,727,835
  4. Step 4: Simplify right side
    787,677x = 2,985,413,787,225
  5. Step 5: Solve for x
    x = 2,985,413,787,225/787,677
  6. Step 6: Final answer
    x = 3,790,149.75

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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.