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Finding the Third Proportional to 458,932 and 972,562

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Solution

The third proportional to 458,932 and 972,562 is: 2,061,039.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,932 : 972,562 = 972,562 : x
  2. Step 2: Convert to fraction form
    458,932/972,562 = 972,562/x
  3. Step 3: Cross multiply
    458,932x = 972,562 × 972,562
  4. Step 4: Simplify right side
    458,932x = 945,876,843,844
  5. Step 5: Solve for x
    x = 945,876,843,844/458,932
  6. Step 6: Final answer
    x = 2,061,039.20

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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.