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Finding the Third Proportional to 458,928 and 972,561

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Solution

The third proportional to 458,928 and 972,561 is: 2,061,052.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,928 : 972,561 = 972,561 : x
  2. Step 2: Convert to fraction form
    458,928/972,561 = 972,561/x
  3. Step 3: Cross multiply
    458,928x = 972,561 × 972,561
  4. Step 4: Simplify right side
    458,928x = 945,874,898,721
  5. Step 5: Solve for x
    x = 945,874,898,721/458,928
  6. Step 6: Final answer
    x = 2,061,052.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.