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Finding the Third Proportional to 982,584 and 2,138,162.06

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Solution

The third proportional to 982,584 and 2,138,162.06 is: 4,652,769.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,584 : 2,138,162.06 = 2,138,162.06 : x
  2. Step 2: Convert to fraction form
    982,584/2,138,162.06 = 2,138,162.06/x
  3. Step 3: Cross multiply
    982,584x = 2,138,162.06 × 2,138,162.06
  4. Step 4: Simplify right side
    982,584x = 4,571,737,005,514.25
  5. Step 5: Solve for x
    x = 4,571,737,005,514.25/982,584
  6. Step 6: Final answer
    x = 4,652,769.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.