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Finding the Third Proportional to 458,867 and 930,548

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Solution

The third proportional to 458,867 and 930,548 is: 1,887,081.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,867 : 930,548 = 930,548 : x
  2. Step 2: Convert to fraction form
    458,867/930,548 = 930,548/x
  3. Step 3: Cross multiply
    458,867x = 930,548 × 930,548
  4. Step 4: Simplify right side
    458,867x = 865,919,580,304
  5. Step 5: Solve for x
    x = 865,919,580,304/458,867
  6. Step 6: Final answer
    x = 1,887,081.83

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.