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Finding the Third Proportional to 1,134,899.23 and 1,686,270.97

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Solution

The third proportional to 1,134,899.23 and 1,686,270.97 is: 2,505,517.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134,899.23 : 1,686,270.97 = 1,686,270.97 : x
  2. Step 2: Convert to fraction form
    1,134,899.23/1,686,270.97 = 1,686,270.97/x
  3. Step 3: Cross multiply
    1,134,899.23x = 1,686,270.97 × 1,686,270.97
  4. Step 4: Simplify right side
    1,134,899.23x = 2,843,509,793,222.89
  5. Step 5: Solve for x
    x = 2,843,509,793,222.89/1,134,899.23
  6. Step 6: Final answer
    x = 2,505,517.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.