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Finding the Third Proportional to 997,641 and 2,181,906

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Solution

The third proportional to 997,641 and 2,181,906 is: 4,771,970.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,641 : 2,181,906 = 2,181,906 : x
  2. Step 2: Convert to fraction form
    997,641/2,181,906 = 2,181,906/x
  3. Step 3: Cross multiply
    997,641x = 2,181,906 × 2,181,906
  4. Step 4: Simplify right side
    997,641x = 4,760,713,792,836
  5. Step 5: Solve for x
    x = 4,760,713,792,836/997,641
  6. Step 6: Final answer
    x = 4,771,970.87

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.