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Finding the Third Proportional to 458,810 and 1,006,180

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Solution

The third proportional to 458,810 and 1,006,180 is: 2,206,573.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,810 : 1,006,180 = 1,006,180 : x
  2. Step 2: Convert to fraction form
    458,810/1,006,180 = 1,006,180/x
  3. Step 3: Cross multiply
    458,810x = 1,006,180 × 1,006,180
  4. Step 4: Simplify right side
    458,810x = 1,012,398,192,400
  5. Step 5: Solve for x
    x = 1,012,398,192,400/458,810
  6. Step 6: Final answer
    x = 2,206,573.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.