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Finding the Third Proportional to 654,348 and 927,922

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Solution

The third proportional to 654,348 and 927,922 is: 1,315,873.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,348 : 927,922 = 927,922 : x
  2. Step 2: Convert to fraction form
    654,348/927,922 = 927,922/x
  3. Step 3: Cross multiply
    654,348x = 927,922 × 927,922
  4. Step 4: Simplify right side
    654,348x = 861,039,238,084
  5. Step 5: Solve for x
    x = 861,039,238,084/654,348
  6. Step 6: Final answer
    x = 1,315,873.57

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.