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Finding the Third Proportional to 980,016 and 1,475,724

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Solution

The third proportional to 980,016 and 1,475,724 is: 2,222,169.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,016 : 1,475,724 = 1,475,724 : x
  2. Step 2: Convert to fraction form
    980,016/1,475,724 = 1,475,724/x
  3. Step 3: Cross multiply
    980,016x = 1,475,724 × 1,475,724
  4. Step 4: Simplify right side
    980,016x = 2,177,761,324,176
  5. Step 5: Solve for x
    x = 2,177,761,324,176/980,016
  6. Step 6: Final answer
    x = 2,222,169.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.