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Finding the Third Proportional to 1,843,398 and 3,775,349.25

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Solution

The third proportional to 1,843,398 and 3,775,349.25 is: 7,732,058.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843,398 : 3,775,349.25 = 3,775,349.25 : x
  2. Step 2: Convert to fraction form
    1,843,398/3,775,349.25 = 3,775,349.25/x
  3. Step 3: Cross multiply
    1,843,398x = 3,775,349.25 × 3,775,349.25
  4. Step 4: Simplify right side
    1,843,398x = 14,253,261,959,475.56
  5. Step 5: Solve for x
    x = 14,253,261,959,475.56/1,843,398
  6. Step 6: Final answer
    x = 7,732,058.93

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.