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Finding the Third Proportional to 450,443 and 979,294

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Solution

The third proportional to 450,443 and 979,294 is: 2,129,052.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,443 : 979,294 = 979,294 : x
  2. Step 2: Convert to fraction form
    450,443/979,294 = 979,294/x
  3. Step 3: Cross multiply
    450,443x = 979,294 × 979,294
  4. Step 4: Simplify right side
    450,443x = 959,016,738,436
  5. Step 5: Solve for x
    x = 959,016,738,436/450,443
  6. Step 6: Final answer
    x = 2,129,052.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.