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Finding the Third Proportional to 998,234 and 2,164,612

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Solution

The third proportional to 998,234 and 2,164,612 is: 4,693,834.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,234 : 2,164,612 = 2,164,612 : x
  2. Step 2: Convert to fraction form
    998,234/2,164,612 = 2,164,612/x
  3. Step 3: Cross multiply
    998,234x = 2,164,612 × 2,164,612
  4. Step 4: Simplify right side
    998,234x = 4,685,545,110,544
  5. Step 5: Solve for x
    x = 4,685,545,110,544/998,234
  6. Step 6: Final answer
    x = 4,693,834.42

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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.