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Finding the Third Proportional to 458,166 and 984,132

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Solution

The third proportional to 458,166 and 984,132 is: 2,113,897.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,166 : 984,132 = 984,132 : x
  2. Step 2: Convert to fraction form
    458,166/984,132 = 984,132/x
  3. Step 3: Cross multiply
    458,166x = 984,132 × 984,132
  4. Step 4: Simplify right side
    458,166x = 968,515,793,424
  5. Step 5: Solve for x
    x = 968,515,793,424/458,166
  6. Step 6: Final answer
    x = 2,113,897.13

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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.