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Finding the Third Proportional to 487,725 and 998,049

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Solution

The third proportional to 487,725 and 998,049 is: 2,042,343.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,725 : 998,049 = 998,049 : x
  2. Step 2: Convert to fraction form
    487,725/998,049 = 998,049/x
  3. Step 3: Cross multiply
    487,725x = 998,049 × 998,049
  4. Step 4: Simplify right side
    487,725x = 996,101,806,401
  5. Step 5: Solve for x
    x = 996,101,806,401/487,725
  6. Step 6: Final answer
    x = 2,042,343.14

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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.