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Finding the Third Proportional to 487,717 and 998,033

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Solution

The third proportional to 487,717 and 998,033 is: 2,042,311.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,717 : 998,033 = 998,033 : x
  2. Step 2: Convert to fraction form
    487,717/998,033 = 998,033/x
  3. Step 3: Cross multiply
    487,717x = 998,033 × 998,033
  4. Step 4: Simplify right side
    487,717x = 996,069,869,089
  5. Step 5: Solve for x
    x = 996,069,869,089/487,717
  6. Step 6: Final answer
    x = 2,042,311.15

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.