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Finding the Third Proportional to 591,927.75 and 1,278,438.19

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Solution

The third proportional to 591,927.75 and 1,278,438.19 is: 2,761,154.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,927.75 : 1,278,438.19 = 1,278,438.19 : x
  2. Step 2: Convert to fraction form
    591,927.75/1,278,438.19 = 1,278,438.19/x
  3. Step 3: Cross multiply
    591,927.75x = 1,278,438.19 × 1,278,438.19
  4. Step 4: Simplify right side
    591,927.75x = 1,634,404,199,258.29
  5. Step 5: Solve for x
    x = 1,634,404,199,258.29/591,927.75
  6. Step 6: Final answer
    x = 2,761,154.89

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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.