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Finding the Third Proportional to 451,386 and 983,691

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Solution

The third proportional to 451,386 and 983,691 is: 2,143,726.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,386 : 983,691 = 983,691 : x
  2. Step 2: Convert to fraction form
    451,386/983,691 = 983,691/x
  3. Step 3: Cross multiply
    451,386x = 983,691 × 983,691
  4. Step 4: Simplify right side
    451,386x = 967,647,983,481
  5. Step 5: Solve for x
    x = 967,647,983,481/451,386
  6. Step 6: Final answer
    x = 2,143,726.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.