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Finding the Third Proportional to 1,996,481 and 4,342,767

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Solution

The third proportional to 1,996,481 and 4,342,767 is: 9,446,433.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996,481 : 4,342,767 = 4,342,767 : x
  2. Step 2: Convert to fraction form
    1,996,481/4,342,767 = 4,342,767/x
  3. Step 3: Cross multiply
    1,996,481x = 4,342,767 × 4,342,767
  4. Step 4: Simplify right side
    1,996,481x = 18,859,625,216,289
  5. Step 5: Solve for x
    x = 18,859,625,216,289/1,996,481
  6. Step 6: Final answer
    x = 9,446,433.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.