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Finding the Third Proportional to 1,947,474 and 4,205,988

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Solution

The third proportional to 1,947,474 and 4,205,988 is: 9,083,733.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947,474 : 4,205,988 = 4,205,988 : x
  2. Step 2: Convert to fraction form
    1,947,474/4,205,988 = 4,205,988/x
  3. Step 3: Cross multiply
    1,947,474x = 4,205,988 × 4,205,988
  4. Step 4: Simplify right side
    1,947,474x = 17,690,335,056,144
  5. Step 5: Solve for x
    x = 17,690,335,056,144/1,947,474
  6. Step 6: Final answer
    x = 9,083,733.62

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.