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Finding the Third Proportional to 2,257,138 and 4,882,421

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Solution

The third proportional to 2,257,138 and 4,882,421 is: 10,561,177.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257,138 : 4,882,421 = 4,882,421 : x
  2. Step 2: Convert to fraction form
    2,257,138/4,882,421 = 4,882,421/x
  3. Step 3: Cross multiply
    2,257,138x = 4,882,421 × 4,882,421
  4. Step 4: Simplify right side
    2,257,138x = 23,838,034,821,241
  5. Step 5: Solve for x
    x = 23,838,034,821,241/2,257,138
  6. Step 6: Final answer
    x = 10,561,177.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.