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Finding the Third Proportional to 982,633 and 2,083,361

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Solution

The third proportional to 982,633 and 2,083,361 is: 4,417,104.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,633 : 2,083,361 = 2,083,361 : x
  2. Step 2: Convert to fraction form
    982,633/2,083,361 = 2,083,361/x
  3. Step 3: Cross multiply
    982,633x = 2,083,361 × 2,083,361
  4. Step 4: Simplify right side
    982,633x = 4,340,393,056,321
  5. Step 5: Solve for x
    x = 4,340,393,056,321/982,633
  6. Step 6: Final answer
    x = 4,417,104.92

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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.