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Finding the Third Proportional to 798,998 and 1,711,720

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Solution

The third proportional to 798,998 and 1,711,720 is: 3,667,074.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,998 : 1,711,720 = 1,711,720 : x
  2. Step 2: Convert to fraction form
    798,998/1,711,720 = 1,711,720/x
  3. Step 3: Cross multiply
    798,998x = 1,711,720 × 1,711,720
  4. Step 4: Simplify right side
    798,998x = 2,929,985,358,400
  5. Step 5: Solve for x
    x = 2,929,985,358,400/798,998
  6. Step 6: Final answer
    x = 3,667,074.71

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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.