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Finding the Third Proportional to 458,156 and 986,223

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Solution

The third proportional to 458,156 and 986,223 is: 2,122,935.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,156 : 986,223 = 986,223 : x
  2. Step 2: Convert to fraction form
    458,156/986,223 = 986,223/x
  3. Step 3: Cross multiply
    458,156x = 986,223 × 986,223
  4. Step 4: Simplify right side
    458,156x = 972,635,805,729
  5. Step 5: Solve for x
    x = 972,635,805,729/458,156
  6. Step 6: Final answer
    x = 2,122,935.87

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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.