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Finding the Third Proportional to 928,324.75 and 1,398,632.75

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Solution

The third proportional to 928,324.75 and 1,398,632.75 is: 2,107,208.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    928,324.75 : 1,398,632.75 = 1,398,632.75 : x
  2. Step 2: Convert to fraction form
    928,324.75/1,398,632.75 = 1,398,632.75/x
  3. Step 3: Cross multiply
    928,324.75x = 1,398,632.75 × 1,398,632.75
  4. Step 4: Simplify right side
    928,324.75x = 1,956,173,569,372.56
  5. Step 5: Solve for x
    x = 1,956,173,569,372.56/928,324.75
  6. Step 6: Final answer
    x = 2,107,208.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.