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Finding the Third Proportional to 798,162 and 1,239,213

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Solution

The third proportional to 798,162 and 1,239,213 is: 1,923,981.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,162 : 1,239,213 = 1,239,213 : x
  2. Step 2: Convert to fraction form
    798,162/1,239,213 = 1,239,213/x
  3. Step 3: Cross multiply
    798,162x = 1,239,213 × 1,239,213
  4. Step 4: Simplify right side
    798,162x = 1,535,648,859,369
  5. Step 5: Solve for x
    x = 1,535,648,859,369/798,162
  6. Step 6: Final answer
    x = 1,923,981.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.