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Finding the Third Proportional to 2,277,434 and 3,439,677

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Solution

The third proportional to 2,277,434 and 3,439,677 is: 5,195,047.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277,434 : 3,439,677 = 3,439,677 : x
  2. Step 2: Convert to fraction form
    2,277,434/3,439,677 = 3,439,677/x
  3. Step 3: Cross multiply
    2,277,434x = 3,439,677 × 3,439,677
  4. Step 4: Simplify right side
    2,277,434x = 11,831,377,864,329
  5. Step 5: Solve for x
    x = 11,831,377,864,329/2,277,434
  6. Step 6: Final answer
    x = 5,195,047.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.