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Finding the Third Proportional to 1,225,939.50 and 1,913,415.38

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Solution

The third proportional to 1,225,939.50 and 1,913,415.38 is: 2,986,410.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225,939.50 : 1,913,415.38 = 1,913,415.38 : x
  2. Step 2: Convert to fraction form
    1,225,939.50/1,913,415.38 = 1,913,415.38/x
  3. Step 3: Cross multiply
    1,225,939.50x = 1,913,415.38 × 1,913,415.38
  4. Step 4: Simplify right side
    1,225,939.50x = 3,661,158,397,286.39
  5. Step 5: Solve for x
    x = 3,661,158,397,286.39/1,225,939.50
  6. Step 6: Final answer
    x = 2,986,410.34

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.