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Finding the Third Proportional to 458,934 and 972,572

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Solution

The third proportional to 458,934 and 972,572 is: 2,061,072.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,934 : 972,572 = 972,572 : x
  2. Step 2: Convert to fraction form
    458,934/972,572 = 972,572/x
  3. Step 3: Cross multiply
    458,934x = 972,572 × 972,572
  4. Step 4: Simplify right side
    458,934x = 945,896,295,184
  5. Step 5: Solve for x
    x = 945,896,295,184/458,934
  6. Step 6: Final answer
    x = 2,061,072.61

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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.