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Finding the Third Proportional to 458,013 and 944,565

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Solution

The third proportional to 458,013 and 944,565 is: 1,947,986.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,013 : 944,565 = 944,565 : x
  2. Step 2: Convert to fraction form
    458,013/944,565 = 944,565/x
  3. Step 3: Cross multiply
    458,013x = 944,565 × 944,565
  4. Step 4: Simplify right side
    458,013x = 892,203,039,225
  5. Step 5: Solve for x
    x = 892,203,039,225/458,013
  6. Step 6: Final answer
    x = 1,947,986.28

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.