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Finding the Third Proportional to 458,121 and 986,475

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Solution

The third proportional to 458,121 and 986,475 is: 2,124,183.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,121 : 986,475 = 986,475 : x
  2. Step 2: Convert to fraction form
    458,121/986,475 = 986,475/x
  3. Step 3: Cross multiply
    458,121x = 986,475 × 986,475
  4. Step 4: Simplify right side
    458,121x = 973,132,925,625
  5. Step 5: Solve for x
    x = 973,132,925,625/458,121
  6. Step 6: Final answer
    x = 2,124,183.19

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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.