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Finding the Third Proportional to 458,160 and 986,230

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Solution

The third proportional to 458,160 and 986,230 is: 2,122,947.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,160 : 986,230 = 986,230 : x
  2. Step 2: Convert to fraction form
    458,160/986,230 = 986,230/x
  3. Step 3: Cross multiply
    458,160x = 986,230 × 986,230
  4. Step 4: Simplify right side
    458,160x = 972,649,612,900
  5. Step 5: Solve for x
    x = 972,649,612,900/458,160
  6. Step 6: Final answer
    x = 2,122,947.47

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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.