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Finding the Third Proportional to 544,928 and 1,187,942

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Solution

The third proportional to 544,928 and 1,187,942 is: 2,589,711.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,928 : 1,187,942 = 1,187,942 : x
  2. Step 2: Convert to fraction form
    544,928/1,187,942 = 1,187,942/x
  3. Step 3: Cross multiply
    544,928x = 1,187,942 × 1,187,942
  4. Step 4: Simplify right side
    544,928x = 1,411,206,195,364
  5. Step 5: Solve for x
    x = 1,411,206,195,364/544,928
  6. Step 6: Final answer
    x = 2,589,711.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.