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Finding the Third Proportional to 522,928 and 1,108,642

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Solution

The third proportional to 522,928 and 1,108,642 is: 2,350,394.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,928 : 1,108,642 = 1,108,642 : x
  2. Step 2: Convert to fraction form
    522,928/1,108,642 = 1,108,642/x
  3. Step 3: Cross multiply
    522,928x = 1,108,642 × 1,108,642
  4. Step 4: Simplify right side
    522,928x = 1,229,087,084,164
  5. Step 5: Solve for x
    x = 1,229,087,084,164/522,928
  6. Step 6: Final answer
    x = 2,350,394.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.