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Finding the Third Proportional to 410,670 and 954,099

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Solution

The third proportional to 410,670 and 954,099 is: 2,216,633.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,670 : 954,099 = 954,099 : x
  2. Step 2: Convert to fraction form
    410,670/954,099 = 954,099/x
  3. Step 3: Cross multiply
    410,670x = 954,099 × 954,099
  4. Step 4: Simplify right side
    410,670x = 910,304,901,801
  5. Step 5: Solve for x
    x = 910,304,901,801/410,670
  6. Step 6: Final answer
    x = 2,216,633.55

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.