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Finding the Third Proportional to 968,517 and 2,250,652.50

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Solution

The third proportional to 968,517 and 2,250,652.50 is: 5,230,095.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,517 : 2,250,652.50 = 2,250,652.50 : x
  2. Step 2: Convert to fraction form
    968,517/2,250,652.50 = 2,250,652.50/x
  3. Step 3: Cross multiply
    968,517x = 2,250,652.50 × 2,250,652.50
  4. Step 4: Simplify right side
    968,517x = 5,065,436,675,756.25
  5. Step 5: Solve for x
    x = 5,065,436,675,756.25/968,517
  6. Step 6: Final answer
    x = 5,230,095.78

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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.