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Finding the Third Proportional to 410,769 and 888,930

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Solution

The third proportional to 410,769 and 888,930 is: 1,923,700.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,769 : 888,930 = 888,930 : x
  2. Step 2: Convert to fraction form
    410,769/888,930 = 888,930/x
  3. Step 3: Cross multiply
    410,769x = 888,930 × 888,930
  4. Step 4: Simplify right side
    410,769x = 790,196,544,900
  5. Step 5: Solve for x
    x = 790,196,544,900/410,769
  6. Step 6: Final answer
    x = 1,923,700.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.