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Finding the Third Proportional to 678,151 and 1,049,114.75

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Solution

The third proportional to 678,151 and 1,049,114.75 is: 1,623,003.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,151 : 1,049,114.75 = 1,049,114.75 : x
  2. Step 2: Convert to fraction form
    678,151/1,049,114.75 = 1,049,114.75/x
  3. Step 3: Cross multiply
    678,151x = 1,049,114.75 × 1,049,114.75
  4. Step 4: Simplify right side
    678,151x = 1,100,641,758,667.56
  5. Step 5: Solve for x
    x = 1,100,641,758,667.56/678,151
  6. Step 6: Final answer
    x = 1,623,003.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.