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Finding the Third Proportional to 619,184 and 1,264,606

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Solution

The third proportional to 619,184 and 1,264,606 is: 2,582,799.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,184 : 1,264,606 = 1,264,606 : x
  2. Step 2: Convert to fraction form
    619,184/1,264,606 = 1,264,606/x
  3. Step 3: Cross multiply
    619,184x = 1,264,606 × 1,264,606
  4. Step 4: Simplify right side
    619,184x = 1,599,228,335,236
  5. Step 5: Solve for x
    x = 1,599,228,335,236/619,184
  6. Step 6: Final answer
    x = 2,582,799.84

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.