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Finding the Third Proportional to 540,894 and 1,156,836

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Solution

The third proportional to 540,894 and 1,156,836 is: 2,474,180.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,894 : 1,156,836 = 1,156,836 : x
  2. Step 2: Convert to fraction form
    540,894/1,156,836 = 1,156,836/x
  3. Step 3: Cross multiply
    540,894x = 1,156,836 × 1,156,836
  4. Step 4: Simplify right side
    540,894x = 1,338,269,530,896
  5. Step 5: Solve for x
    x = 1,338,269,530,896/540,894
  6. Step 6: Final answer
    x = 2,474,180.77

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.