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Finding the Third Proportional to 2,138,782 and 4,454,484

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Solution

The third proportional to 2,138,782 and 4,454,484 is: 9,277,442.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138,782 : 4,454,484 = 4,454,484 : x
  2. Step 2: Convert to fraction form
    2,138,782/4,454,484 = 4,454,484/x
  3. Step 3: Cross multiply
    2,138,782x = 4,454,484 × 4,454,484
  4. Step 4: Simplify right side
    2,138,782x = 19,842,427,706,256
  5. Step 5: Solve for x
    x = 19,842,427,706,256/2,138,782
  6. Step 6: Final answer
    x = 9,277,442.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.