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Finding the Third Proportional to 2,493,664 and 5,368,729

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Solution

The third proportional to 2,493,664 and 5,368,729 is: 11,558,594.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493,664 : 5,368,729 = 5,368,729 : x
  2. Step 2: Convert to fraction form
    2,493,664/5,368,729 = 5,368,729/x
  3. Step 3: Cross multiply
    2,493,664x = 5,368,729 × 5,368,729
  4. Step 4: Simplify right side
    2,493,664x = 28,823,251,075,441
  5. Step 5: Solve for x
    x = 28,823,251,075,441/2,493,664
  6. Step 6: Final answer
    x = 11,558,594.53

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.