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Finding the Third Proportional to 458,120 and 986,481

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Solution

The third proportional to 458,120 and 986,481 is: 2,124,213.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,120 : 986,481 = 986,481 : x
  2. Step 2: Convert to fraction form
    458,120/986,481 = 986,481/x
  3. Step 3: Cross multiply
    458,120x = 986,481 × 986,481
  4. Step 4: Simplify right side
    458,120x = 973,144,763,361
  5. Step 5: Solve for x
    x = 973,144,763,361/458,120
  6. Step 6: Final answer
    x = 2,124,213.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.