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Finding the Third Proportional to 611,718 and 1,439,241

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Solution

The third proportional to 611,718 and 1,439,241 is: 3,386,224.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,718 : 1,439,241 = 1,439,241 : x
  2. Step 2: Convert to fraction form
    611,718/1,439,241 = 1,439,241/x
  3. Step 3: Cross multiply
    611,718x = 1,439,241 × 1,439,241
  4. Step 4: Simplify right side
    611,718x = 2,071,414,656,081
  5. Step 5: Solve for x
    x = 2,071,414,656,081/611,718
  6. Step 6: Final answer
    x = 3,386,224.79

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.