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Finding the Third Proportional to 982,668 and 2,083,428

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Solution

The third proportional to 982,668 and 2,083,428 is: 4,417,231.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,668 : 2,083,428 = 2,083,428 : x
  2. Step 2: Convert to fraction form
    982,668/2,083,428 = 2,083,428/x
  3. Step 3: Cross multiply
    982,668x = 2,083,428 × 2,083,428
  4. Step 4: Simplify right side
    982,668x = 4,340,672,231,184
  5. Step 5: Solve for x
    x = 4,340,672,231,184/982,668
  6. Step 6: Final answer
    x = 4,417,231.69

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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.