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Finding the Third Proportional to 1,406,916 and 2,181,762

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Solution

The third proportional to 1,406,916 and 2,181,762 is: 3,383,347.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406,916 : 2,181,762 = 2,181,762 : x
  2. Step 2: Convert to fraction form
    1,406,916/2,181,762 = 2,181,762/x
  3. Step 3: Cross multiply
    1,406,916x = 2,181,762 × 2,181,762
  4. Step 4: Simplify right side
    1,406,916x = 4,760,085,424,644
  5. Step 5: Solve for x
    x = 4,760,085,424,644/1,406,916
  6. Step 6: Final answer
    x = 3,383,347.28

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.