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Finding the Third Proportional to 467,552 and 1,019,344

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Solution

The third proportional to 467,552 and 1,019,344 is: 2,222,345.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,552 : 1,019,344 = 1,019,344 : x
  2. Step 2: Convert to fraction form
    467,552/1,019,344 = 1,019,344/x
  3. Step 3: Cross multiply
    467,552x = 1,019,344 × 1,019,344
  4. Step 4: Simplify right side
    467,552x = 1,039,062,190,336
  5. Step 5: Solve for x
    x = 1,039,062,190,336/467,552
  6. Step 6: Final answer
    x = 2,222,345.73

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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.