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Finding the Third Proportional to 2,049,758 and 4,745,291

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Solution

The third proportional to 2,049,758 and 4,745,291 is: 10,985,583.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049,758 : 4,745,291 = 4,745,291 : x
  2. Step 2: Convert to fraction form
    2,049,758/4,745,291 = 4,745,291/x
  3. Step 3: Cross multiply
    2,049,758x = 4,745,291 × 4,745,291
  4. Step 4: Simplify right side
    2,049,758x = 22,517,786,674,681
  5. Step 5: Solve for x
    x = 22,517,786,674,681/2,049,758
  6. Step 6: Final answer
    x = 10,985,583.02

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.