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Finding the Third Proportional to 451,350 and 983,648

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Solution

The third proportional to 451,350 and 983,648 is: 2,143,709.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,350 : 983,648 = 983,648 : x
  2. Step 2: Convert to fraction form
    451,350/983,648 = 983,648/x
  3. Step 3: Cross multiply
    451,350x = 983,648 × 983,648
  4. Step 4: Simplify right side
    451,350x = 967,563,387,904
  5. Step 5: Solve for x
    x = 967,563,387,904/451,350
  6. Step 6: Final answer
    x = 2,143,709.73

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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.