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Finding the Third Proportional to 467,460 and 1,023,372

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Solution

The third proportional to 467,460 and 1,023,372 is: 2,240,384.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,460 : 1,023,372 = 1,023,372 : x
  2. Step 2: Convert to fraction form
    467,460/1,023,372 = 1,023,372/x
  3. Step 3: Cross multiply
    467,460x = 1,023,372 × 1,023,372
  4. Step 4: Simplify right side
    467,460x = 1,047,290,250,384
  5. Step 5: Solve for x
    x = 1,047,290,250,384/467,460
  6. Step 6: Final answer
    x = 2,240,384.74

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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.