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Finding the Third Proportional to 982,885 and 2,102,391

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Solution

The third proportional to 982,885 and 2,102,391 is: 4,497,014.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,885 : 2,102,391 = 2,102,391 : x
  2. Step 2: Convert to fraction form
    982,885/2,102,391 = 2,102,391/x
  3. Step 3: Cross multiply
    982,885x = 2,102,391 × 2,102,391
  4. Step 4: Simplify right side
    982,885x = 4,420,047,916,881
  5. Step 5: Solve for x
    x = 4,420,047,916,881/982,885
  6. Step 6: Final answer
    x = 4,497,014.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.