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Finding the Third Proportional to 458,865 and 984,177

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Solution

The third proportional to 458,865 and 984,177 is: 2,110,870.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,865 : 984,177 = 984,177 : x
  2. Step 2: Convert to fraction form
    458,865/984,177 = 984,177/x
  3. Step 3: Cross multiply
    458,865x = 984,177 × 984,177
  4. Step 4: Simplify right side
    458,865x = 968,604,367,329
  5. Step 5: Solve for x
    x = 968,604,367,329/458,865
  6. Step 6: Final answer
    x = 2,110,870.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.