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Finding the Third Proportional to 786,943.69 and 1,203,243.19

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Solution

The third proportional to 786,943.69 and 1,203,243.19 is: 1,839,768.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,943.69 : 1,203,243.19 = 1,203,243.19 : x
  2. Step 2: Convert to fraction form
    786,943.69/1,203,243.19 = 1,203,243.19/x
  3. Step 3: Cross multiply
    786,943.69x = 1,203,243.19 × 1,203,243.19
  4. Step 4: Simplify right side
    786,943.69x = 1,447,794,168,265.16
  5. Step 5: Solve for x
    x = 1,447,794,168,265.16/786,943.69
  6. Step 6: Final answer
    x = 1,839,768.45

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.