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Finding the Third Proportional to 1,578,342 and 3,422,274

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Solution

The third proportional to 1,578,342 and 3,422,274 is: 7,420,419.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578,342 : 3,422,274 = 3,422,274 : x
  2. Step 2: Convert to fraction form
    1,578,342/3,422,274 = 3,422,274/x
  3. Step 3: Cross multiply
    1,578,342x = 3,422,274 × 3,422,274
  4. Step 4: Simplify right side
    1,578,342x = 11,711,959,331,076
  5. Step 5: Solve for x
    x = 11,711,959,331,076/1,578,342
  6. Step 6: Final answer
    x = 7,420,419.23

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.