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Finding the Third Proportional to 458,409 and 1,002,008

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Solution

The third proportional to 458,409 and 1,002,008 is: 2,190,227.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,409 : 1,002,008 = 1,002,008 : x
  2. Step 2: Convert to fraction form
    458,409/1,002,008 = 1,002,008/x
  3. Step 3: Cross multiply
    458,409x = 1,002,008 × 1,002,008
  4. Step 4: Simplify right side
    458,409x = 1,004,020,032,064
  5. Step 5: Solve for x
    x = 1,004,020,032,064/458,409
  6. Step 6: Final answer
    x = 2,190,227.57

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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.