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Finding the Third Proportional to 565,843 and 1,320,565

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Solution

The third proportional to 565,843 and 1,320,565 is: 3,081,936.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,843 : 1,320,565 = 1,320,565 : x
  2. Step 2: Convert to fraction form
    565,843/1,320,565 = 1,320,565/x
  3. Step 3: Cross multiply
    565,843x = 1,320,565 × 1,320,565
  4. Step 4: Simplify right side
    565,843x = 1,743,891,919,225
  5. Step 5: Solve for x
    x = 1,743,891,919,225/565,843
  6. Step 6: Final answer
    x = 3,081,936.01

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.