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Finding the Third Proportional to 2,472,669 and 5,211,017

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Solution

The third proportional to 2,472,669 and 5,211,017 is: 10,981,938.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472,669 : 5,211,017 = 5,211,017 : x
  2. Step 2: Convert to fraction form
    2,472,669/5,211,017 = 5,211,017/x
  3. Step 3: Cross multiply
    2,472,669x = 5,211,017 × 5,211,017
  4. Step 4: Simplify right side
    2,472,669x = 27,154,698,174,289
  5. Step 5: Solve for x
    x = 27,154,698,174,289/2,472,669
  6. Step 6: Final answer
    x = 10,981,938.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.