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Finding the Third Proportional to 4,181,261 and 5,888,329

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Solution

The third proportional to 4,181,261 and 5,888,329 is: 8,292,335.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,181,261 : 5,888,329 = 5,888,329 : x
  2. Step 2: Convert to fraction form
    4,181,261/5,888,329 = 5,888,329/x
  3. Step 3: Cross multiply
    4,181,261x = 5,888,329 × 5,888,329
  4. Step 4: Simplify right side
    4,181,261x = 34,672,418,412,241
  5. Step 5: Solve for x
    x = 34,672,418,412,241/4,181,261
  6. Step 6: Final answer
    x = 8,292,335.35

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.