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Finding the Third Proportional to 982,641 and 2,083,383

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Solution

The third proportional to 982,641 and 2,083,383 is: 4,417,162.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,641 : 2,083,383 = 2,083,383 : x
  2. Step 2: Convert to fraction form
    982,641/2,083,383 = 2,083,383/x
  3. Step 3: Cross multiply
    982,641x = 2,083,383 × 2,083,383
  4. Step 4: Simplify right side
    982,641x = 4,340,484,724,689
  5. Step 5: Solve for x
    x = 4,340,484,724,689/982,641
  6. Step 6: Final answer
    x = 4,417,162.24

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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.