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Finding the Third Proportional to 405,241 and 938,061

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Solution

The third proportional to 405,241 and 938,061 is: 2,171,444.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,241 : 938,061 = 938,061 : x
  2. Step 2: Convert to fraction form
    405,241/938,061 = 938,061/x
  3. Step 3: Cross multiply
    405,241x = 938,061 × 938,061
  4. Step 4: Simplify right side
    405,241x = 879,958,439,721
  5. Step 5: Solve for x
    x = 879,958,439,721/405,241
  6. Step 6: Final answer
    x = 2,171,444.74

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.