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Finding the Third Proportional to 450,454 and 979,314

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Solution

The third proportional to 450,454 and 979,314 is: 2,129,087.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,454 : 979,314 = 979,314 : x
  2. Step 2: Convert to fraction form
    450,454/979,314 = 979,314/x
  3. Step 3: Cross multiply
    450,454x = 979,314 × 979,314
  4. Step 4: Simplify right side
    450,454x = 959,055,910,596
  5. Step 5: Solve for x
    x = 959,055,910,596/450,454
  6. Step 6: Final answer
    x = 2,129,087.34

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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.