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Finding the Third Proportional to 927,512 and 1,393,484

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Solution

The third proportional to 927,512 and 1,393,484 is: 2,093,555.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,512 : 1,393,484 = 1,393,484 : x
  2. Step 2: Convert to fraction form
    927,512/1,393,484 = 1,393,484/x
  3. Step 3: Cross multiply
    927,512x = 1,393,484 × 1,393,484
  4. Step 4: Simplify right side
    927,512x = 1,941,797,658,256
  5. Step 5: Solve for x
    x = 1,941,797,658,256/927,512
  6. Step 6: Final answer
    x = 2,093,555.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.