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Finding the Third Proportional to 591,930 and 1,278,442.50

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Solution

The third proportional to 591,930 and 1,278,442.50 is: 2,761,163.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,930 : 1,278,442.50 = 1,278,442.50 : x
  2. Step 2: Convert to fraction form
    591,930/1,278,442.50 = 1,278,442.50/x
  3. Step 3: Cross multiply
    591,930x = 1,278,442.50 × 1,278,442.50
  4. Step 4: Simplify right side
    591,930x = 1,634,415,225,806.25
  5. Step 5: Solve for x
    x = 1,634,415,225,806.25/591,930
  6. Step 6: Final answer
    x = 2,761,163.02

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