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Finding the Third Proportional to 787,677 and 1,604,247

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Solution

The third proportional to 787,677 and 1,604,247 is: 3,267,339.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,677 : 1,604,247 = 1,604,247 : x
  2. Step 2: Convert to fraction form
    787,677/1,604,247 = 1,604,247/x
  3. Step 3: Cross multiply
    787,677x = 1,604,247 × 1,604,247
  4. Step 4: Simplify right side
    787,677x = 2,573,608,437,009
  5. Step 5: Solve for x
    x = 2,573,608,437,009/787,677
  6. Step 6: Final answer
    x = 3,267,339.83

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.