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Finding the Third Proportional to 458,226 and 1,006,110

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Solution

The third proportional to 458,226 and 1,006,110 is: 2,209,078.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,226 : 1,006,110 = 1,006,110 : x
  2. Step 2: Convert to fraction form
    458,226/1,006,110 = 1,006,110/x
  3. Step 3: Cross multiply
    458,226x = 1,006,110 × 1,006,110
  4. Step 4: Simplify right side
    458,226x = 1,012,257,332,100
  5. Step 5: Solve for x
    x = 1,012,257,332,100/458,226
  6. Step 6: Final answer
    x = 2,209,078.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.