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Finding the Third Proportional to 2,621,024 and 5,606,374

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Solution

The third proportional to 2,621,024 and 5,606,374 is: 11,992,041.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,621,024 : 5,606,374 = 5,606,374 : x
  2. Step 2: Convert to fraction form
    2,621,024/5,606,374 = 5,606,374/x
  3. Step 3: Cross multiply
    2,621,024x = 5,606,374 × 5,606,374
  4. Step 4: Simplify right side
    2,621,024x = 31,431,429,427,876
  5. Step 5: Solve for x
    x = 31,431,429,427,876/2,621,024
  6. Step 6: Final answer
    x = 11,992,041.82

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.