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Finding the Third Proportional to 2,069,664 and 4,441,728

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Solution

The third proportional to 2,069,664 and 4,441,728 is: 9,532,439.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069,664 : 4,441,728 = 4,441,728 : x
  2. Step 2: Convert to fraction form
    2,069,664/4,441,728 = 4,441,728/x
  3. Step 3: Cross multiply
    2,069,664x = 4,441,728 × 4,441,728
  4. Step 4: Simplify right side
    2,069,664x = 19,728,947,625,984
  5. Step 5: Solve for x
    x = 19,728,947,625,984/2,069,664
  6. Step 6: Final answer
    x = 9,532,439.87

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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.