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Finding the Third Proportional to 481,061 and 1,038,393

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Solution

The third proportional to 481,061 and 1,038,393 is: 2,241,420.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,061 : 1,038,393 = 1,038,393 : x
  2. Step 2: Convert to fraction form
    481,061/1,038,393 = 1,038,393/x
  3. Step 3: Cross multiply
    481,061x = 1,038,393 × 1,038,393
  4. Step 4: Simplify right side
    481,061x = 1,078,260,022,449
  5. Step 5: Solve for x
    x = 1,078,260,022,449/481,061
  6. Step 6: Final answer
    x = 2,241,420.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.