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Finding the Third Proportional to 876,086.05 and 1,280,868.43

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Solution

The third proportional to 876,086.05 and 1,280,868.43 is: 1,872,674.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,086.05 : 1,280,868.43 = 1,280,868.43 : x
  2. Step 2: Convert to fraction form
    876,086.05/1,280,868.43 = 1,280,868.43/x
  3. Step 3: Cross multiply
    876,086.05x = 1,280,868.43 × 1,280,868.43
  4. Step 4: Simplify right side
    876,086.05x = 1,640,623,944,177.04
  5. Step 5: Solve for x
    x = 1,640,623,944,177.04/876,086.05
  6. Step 6: Final answer
    x = 1,872,674.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.