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Finding the Third Proportional to 2,154,006 and 4,378,644

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Solution

The third proportional to 2,154,006 and 4,378,644 is: 8,900,868.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154,006 : 4,378,644 = 4,378,644 : x
  2. Step 2: Convert to fraction form
    2,154,006/4,378,644 = 4,378,644/x
  3. Step 3: Cross multiply
    2,154,006x = 4,378,644 × 4,378,644
  4. Step 4: Simplify right side
    2,154,006x = 19,172,523,278,736
  5. Step 5: Solve for x
    x = 19,172,523,278,736/2,154,006
  6. Step 6: Final answer
    x = 8,900,868.09

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.