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Finding the Third Proportional to 982,622.25 and 2,083,341

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Solution

The third proportional to 982,622.25 and 2,083,341 is: 4,417,068.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,622.25 : 2,083,341 = 2,083,341 : x
  2. Step 2: Convert to fraction form
    982,622.25/2,083,341 = 2,083,341/x
  3. Step 3: Cross multiply
    982,622.25x = 2,083,341 × 2,083,341
  4. Step 4: Simplify right side
    982,622.25x = 4,340,309,722,281
  5. Step 5: Solve for x
    x = 4,340,309,722,281/982,622.25
  6. Step 6: Final answer
    x = 4,417,068.43

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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.