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Finding the Third Proportional to 451,998 and 1,003,122

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Solution

The third proportional to 451,998 and 1,003,122 is: 2,226,234.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,998 : 1,003,122 = 1,003,122 : x
  2. Step 2: Convert to fraction form
    451,998/1,003,122 = 1,003,122/x
  3. Step 3: Cross multiply
    451,998x = 1,003,122 × 1,003,122
  4. Step 4: Simplify right side
    451,998x = 1,006,253,746,884
  5. Step 5: Solve for x
    x = 1,006,253,746,884/451,998
  6. Step 6: Final answer
    x = 2,226,234.95

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.