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Finding the Third Proportional to 2,277,442 and 3,439,689

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Solution

The third proportional to 2,277,442 and 3,439,689 is: 5,195,065.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277,442 : 3,439,689 = 3,439,689 : x
  2. Step 2: Convert to fraction form
    2,277,442/3,439,689 = 3,439,689/x
  3. Step 3: Cross multiply
    2,277,442x = 3,439,689 × 3,439,689
  4. Step 4: Simplify right side
    2,277,442x = 11,831,460,416,721
  5. Step 5: Solve for x
    x = 11,831,460,416,721/2,277,442
  6. Step 6: Final answer
    x = 5,195,065.52

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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.