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Finding the Third Proportional to 518,472 and 1,078,328

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Solution

The third proportional to 518,472 and 1,078,328 is: 2,242,727.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,472 : 1,078,328 = 1,078,328 : x
  2. Step 2: Convert to fraction form
    518,472/1,078,328 = 1,078,328/x
  3. Step 3: Cross multiply
    518,472x = 1,078,328 × 1,078,328
  4. Step 4: Simplify right side
    518,472x = 1,162,791,275,584
  5. Step 5: Solve for x
    x = 1,162,791,275,584/518,472
  6. Step 6: Final answer
    x = 2,242,727.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.