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Finding the Third Proportional to 487,723 and 998,045

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Solution

The third proportional to 487,723 and 998,045 is: 2,042,335.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,723 : 998,045 = 998,045 : x
  2. Step 2: Convert to fraction form
    487,723/998,045 = 998,045/x
  3. Step 3: Cross multiply
    487,723x = 998,045 × 998,045
  4. Step 4: Simplify right side
    487,723x = 996,093,822,025
  5. Step 5: Solve for x
    x = 996,093,822,025/487,723
  6. Step 6: Final answer
    x = 2,042,335.14

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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.