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Finding the Third Proportional to 1,840,677 and 3,770,580

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Solution

The third proportional to 1,840,677 and 3,770,580 is: 7,723,937.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840,677 : 3,770,580 = 3,770,580 : x
  2. Step 2: Convert to fraction form
    1,840,677/3,770,580 = 3,770,580/x
  3. Step 3: Cross multiply
    1,840,677x = 3,770,580 × 3,770,580
  4. Step 4: Simplify right side
    1,840,677x = 14,217,273,536,400
  5. Step 5: Solve for x
    x = 14,217,273,536,400/1,840,677
  6. Step 6: Final answer
    x = 7,723,937.19

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.