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Finding the Third Proportional to 815,918 and 1,777,000

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Solution

The third proportional to 815,918 and 1,777,000 is: 3,870,154.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,918 : 1,777,000 = 1,777,000 : x
  2. Step 2: Convert to fraction form
    815,918/1,777,000 = 1,777,000/x
  3. Step 3: Cross multiply
    815,918x = 1,777,000 × 1,777,000
  4. Step 4: Simplify right side
    815,918x = 3,157,729,000,000
  5. Step 5: Solve for x
    x = 3,157,729,000,000/815,918
  6. Step 6: Final answer
    x = 3,870,154.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.