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Finding the Third Proportional to 641,072.69 and 1,015,122.19

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Solution

The third proportional to 641,072.69 and 1,015,122.19 is: 1,607,419.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,072.69 : 1,015,122.19 = 1,015,122.19 : x
  2. Step 2: Convert to fraction form
    641,072.69/1,015,122.19 = 1,015,122.19/x
  3. Step 3: Cross multiply
    641,072.69x = 1,015,122.19 × 1,015,122.19
  4. Step 4: Simplify right side
    641,072.69x = 1,030,473,055,554.79
  5. Step 5: Solve for x
    x = 1,030,473,055,554.79/641,072.69
  6. Step 6: Final answer
    x = 1,607,419.99

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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.