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Finding the Third Proportional to 458,633 and 972,769

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Solution

The third proportional to 458,633 and 972,769 is: 2,063,260.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,633 : 972,769 = 972,769 : x
  2. Step 2: Convert to fraction form
    458,633/972,769 = 972,769/x
  3. Step 3: Cross multiply
    458,633x = 972,769 × 972,769
  4. Step 4: Simplify right side
    458,633x = 946,279,527,361
  5. Step 5: Solve for x
    x = 946,279,527,361/458,633
  6. Step 6: Final answer
    x = 2,063,260.88

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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.