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Finding the Third Proportional to 980,304 and 2,153,922

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Solution

The third proportional to 980,304 and 2,153,922 is: 4,732,593.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,304 : 2,153,922 = 2,153,922 : x
  2. Step 2: Convert to fraction form
    980,304/2,153,922 = 2,153,922/x
  3. Step 3: Cross multiply
    980,304x = 2,153,922 × 2,153,922
  4. Step 4: Simplify right side
    980,304x = 4,639,379,982,084
  5. Step 5: Solve for x
    x = 4,639,379,982,084/980,304
  6. Step 6: Final answer
    x = 4,732,593.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.