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Finding the Third Proportional to 431,334 and 941,772

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Solution

The third proportional to 431,334 and 941,772 is: 2,056,259.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,334 : 941,772 = 941,772 : x
  2. Step 2: Convert to fraction form
    431,334/941,772 = 941,772/x
  3. Step 3: Cross multiply
    431,334x = 941,772 × 941,772
  4. Step 4: Simplify right side
    431,334x = 886,934,499,984
  5. Step 5: Solve for x
    x = 886,934,499,984/431,334
  6. Step 6: Final answer
    x = 2,056,259.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.