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Finding the Third Proportional to 969,993 and 1,468,410

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Solution

The third proportional to 969,993 and 1,468,410 is: 2,222,931.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,993 : 1,468,410 = 1,468,410 : x
  2. Step 2: Convert to fraction form
    969,993/1,468,410 = 1,468,410/x
  3. Step 3: Cross multiply
    969,993x = 1,468,410 × 1,468,410
  4. Step 4: Simplify right side
    969,993x = 2,156,227,928,100
  5. Step 5: Solve for x
    x = 2,156,227,928,100/969,993
  6. Step 6: Final answer
    x = 2,222,931.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.