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Finding the Third Proportional to 840,334 and 1,224,393

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Solution

The third proportional to 840,334 and 1,224,393 is: 1,783,979.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,334 : 1,224,393 = 1,224,393 : x
  2. Step 2: Convert to fraction form
    840,334/1,224,393 = 1,224,393/x
  3. Step 3: Cross multiply
    840,334x = 1,224,393 × 1,224,393
  4. Step 4: Simplify right side
    840,334x = 1,499,138,218,449
  5. Step 5: Solve for x
    x = 1,499,138,218,449/840,334
  6. Step 6: Final answer
    x = 1,783,979.01

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.