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Finding the Third Proportional to 467,436 and 1,023,324

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Solution

The third proportional to 467,436 and 1,023,324 is: 2,240,289.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,436 : 1,023,324 = 1,023,324 : x
  2. Step 2: Convert to fraction form
    467,436/1,023,324 = 1,023,324/x
  3. Step 3: Cross multiply
    467,436x = 1,023,324 × 1,023,324
  4. Step 4: Simplify right side
    467,436x = 1,047,192,008,976
  5. Step 5: Solve for x
    x = 1,047,192,008,976/467,436
  6. Step 6: Final answer
    x = 2,240,289.60

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.