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Finding the Third Proportional to 969,999 and 1,468,419

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Solution

The third proportional to 969,999 and 1,468,419 is: 2,222,944.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,999 : 1,468,419 = 1,468,419 : x
  2. Step 2: Convert to fraction form
    969,999/1,468,419 = 1,468,419/x
  3. Step 3: Cross multiply
    969,999x = 1,468,419 × 1,468,419
  4. Step 4: Simplify right side
    969,999x = 2,156,254,359,561
  5. Step 5: Solve for x
    x = 2,156,254,359,561/969,999
  6. Step 6: Final answer
    x = 2,222,944.93

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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.