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Finding the Third Proportional to 2,049,462 and 3,292,893

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Solution

The third proportional to 2,049,462 and 3,292,893 is: 5,290,727.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049,462 : 3,292,893 = 3,292,893 : x
  2. Step 2: Convert to fraction form
    2,049,462/3,292,893 = 3,292,893/x
  3. Step 3: Cross multiply
    2,049,462x = 3,292,893 × 3,292,893
  4. Step 4: Simplify right side
    2,049,462x = 10,843,144,309,449
  5. Step 5: Solve for x
    x = 10,843,144,309,449/2,049,462
  6. Step 6: Final answer
    x = 5,290,727.18

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.