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Finding the Third Proportional to 982,629 and 2,083,353

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Solution

The third proportional to 982,629 and 2,083,353 is: 4,417,088.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,629 : 2,083,353 = 2,083,353 : x
  2. Step 2: Convert to fraction form
    982,629/2,083,353 = 2,083,353/x
  3. Step 3: Cross multiply
    982,629x = 2,083,353 × 2,083,353
  4. Step 4: Simplify right side
    982,629x = 4,340,359,722,609
  5. Step 5: Solve for x
    x = 4,340,359,722,609/982,629
  6. Step 6: Final answer
    x = 4,417,088.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.