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Finding the Third Proportional to 509,844.38 and 1,190,770.88

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Solution

The third proportional to 509,844.38 and 1,190,770.88 is: 2,781,113.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,844.38 : 1,190,770.88 = 1,190,770.88 : x
  2. Step 2: Convert to fraction form
    509,844.38/1,190,770.88 = 1,190,770.88/x
  3. Step 3: Cross multiply
    509,844.38x = 1,190,770.88 × 1,190,770.88
  4. Step 4: Simplify right side
    509,844.38x = 1,417,935,276,748.27
  5. Step 5: Solve for x
    x = 1,417,935,276,748.27/509,844.38
  6. Step 6: Final answer
    x = 2,781,113.90

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.