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Finding the Third Proportional to 2,092,348.50 and 4,435,782

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Solution

The third proportional to 2,092,348.50 and 4,435,782 is: 9,403,864.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092,348.50 : 4,435,782 = 4,435,782 : x
  2. Step 2: Convert to fraction form
    2,092,348.50/4,435,782 = 4,435,782/x
  3. Step 3: Cross multiply
    2,092,348.50x = 4,435,782 × 4,435,782
  4. Step 4: Simplify right side
    2,092,348.50x = 19,676,161,951,524
  5. Step 5: Solve for x
    x = 19,676,161,951,524/2,092,348.50
  6. Step 6: Final answer
    x = 9,403,864.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.