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Finding the Third Proportional to 862,219 and 1,305,257

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Solution

The third proportional to 862,219 and 1,305,257 is: 1,975,943.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,219 : 1,305,257 = 1,305,257 : x
  2. Step 2: Convert to fraction form
    862,219/1,305,257 = 1,305,257/x
  3. Step 3: Cross multiply
    862,219x = 1,305,257 × 1,305,257
  4. Step 4: Simplify right side
    862,219x = 1,703,695,836,049
  5. Step 5: Solve for x
    x = 1,703,695,836,049/862,219
  6. Step 6: Final answer
    x = 1,975,943.28

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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.