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Finding the Third Proportional to 998,142.50 and 2,164,439

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Solution

The third proportional to 998,142.50 and 2,164,439 is: 4,693,514.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,142.50 : 2,164,439 = 2,164,439 : x
  2. Step 2: Convert to fraction form
    998,142.50/2,164,439 = 2,164,439/x
  3. Step 3: Cross multiply
    998,142.50x = 2,164,439 × 2,164,439
  4. Step 4: Simplify right side
    998,142.50x = 4,684,796,184,721
  5. Step 5: Solve for x
    x = 4,684,796,184,721/998,142.50
  6. Step 6: Final answer
    x = 4,693,514.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.