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Finding the Third Proportional to 458,122 and 986,484

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Solution

The third proportional to 458,122 and 986,484 is: 2,124,217.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,122 : 986,484 = 986,484 : x
  2. Step 2: Convert to fraction form
    458,122/986,484 = 986,484/x
  3. Step 3: Cross multiply
    458,122x = 986,484 × 986,484
  4. Step 4: Simplify right side
    458,122x = 973,150,682,256
  5. Step 5: Solve for x
    x = 973,150,682,256/458,122
  6. Step 6: Final answer
    x = 2,124,217.31

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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.