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Finding the Third Proportional to 641,097.75 and 1,015,162.88

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Solution

The third proportional to 641,097.75 and 1,015,162.88 is: 1,607,486.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,097.75 : 1,015,162.88 = 1,015,162.88 : x
  2. Step 2: Convert to fraction form
    641,097.75/1,015,162.88 = 1,015,162.88/x
  3. Step 3: Cross multiply
    641,097.75x = 1,015,162.88 × 1,015,162.88
  4. Step 4: Simplify right side
    641,097.75x = 1,030,555,662,778.27
  5. Step 5: Solve for x
    x = 1,030,555,662,778.27/641,097.75
  6. Step 6: Final answer
    x = 1,607,486.01

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.