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Finding the Third Proportional to 2,001,366 and 4,306,665

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Solution

The third proportional to 2,001,366 and 4,306,665 is: 9,267,352.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001,366 : 4,306,665 = 4,306,665 : x
  2. Step 2: Convert to fraction form
    2,001,366/4,306,665 = 4,306,665/x
  3. Step 3: Cross multiply
    2,001,366x = 4,306,665 × 4,306,665
  4. Step 4: Simplify right side
    2,001,366x = 18,547,363,422,225
  5. Step 5: Solve for x
    x = 18,547,363,422,225/2,001,366
  6. Step 6: Final answer
    x = 9,267,352.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.