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Finding the Third Proportional to 2,092,143 and 4,469,892

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Solution

The third proportional to 2,092,143 and 4,469,892 is: 9,549,985.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092,143 : 4,469,892 = 4,469,892 : x
  2. Step 2: Convert to fraction form
    2,092,143/4,469,892 = 4,469,892/x
  3. Step 3: Cross multiply
    2,092,143x = 4,469,892 × 4,469,892
  4. Step 4: Simplify right side
    2,092,143x = 19,979,934,491,664
  5. Step 5: Solve for x
    x = 19,979,934,491,664/2,092,143
  6. Step 6: Final answer
    x = 9,549,985.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.