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Finding the Third Proportional to 982,587 and 2,138,169

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Solution

The third proportional to 982,587 and 2,138,169 is: 4,652,785.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,587 : 2,138,169 = 2,138,169 : x
  2. Step 2: Convert to fraction form
    982,587/2,138,169 = 2,138,169/x
  3. Step 3: Cross multiply
    982,587x = 2,138,169 × 2,138,169
  4. Step 4: Simplify right side
    982,587x = 4,571,766,672,561
  5. Step 5: Solve for x
    x = 4,571,766,672,561/982,587
  6. Step 6: Final answer
    x = 4,652,785.63

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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.