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Finding the Third Proportional to 527,010 and 789,079

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Solution

The third proportional to 527,010 and 789,079 is: 1,181,468.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,010 : 789,079 = 789,079 : x
  2. Step 2: Convert to fraction form
    527,010/789,079 = 789,079/x
  3. Step 3: Cross multiply
    527,010x = 789,079 × 789,079
  4. Step 4: Simplify right side
    527,010x = 622,645,668,241
  5. Step 5: Solve for x
    x = 622,645,668,241/527,010
  6. Step 6: Final answer
    x = 1,181,468.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.