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Finding the Third Proportional to 458,413 and 1,002,016

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Solution

The third proportional to 458,413 and 1,002,016 is: 2,190,243.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,413 : 1,002,016 = 1,002,016 : x
  2. Step 2: Convert to fraction form
    458,413/1,002,016 = 1,002,016/x
  3. Step 3: Cross multiply
    458,413x = 1,002,016 × 1,002,016
  4. Step 4: Simplify right side
    458,413x = 1,004,036,064,256
  5. Step 5: Solve for x
    x = 1,004,036,064,256/458,413
  6. Step 6: Final answer
    x = 2,190,243.44

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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.