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Finding the Third Proportional to 571,226 and 1,232,632

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Solution

The third proportional to 571,226 and 1,232,632 is: 2,659,860.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,226 : 1,232,632 = 1,232,632 : x
  2. Step 2: Convert to fraction form
    571,226/1,232,632 = 1,232,632/x
  3. Step 3: Cross multiply
    571,226x = 1,232,632 × 1,232,632
  4. Step 4: Simplify right side
    571,226x = 1,519,381,647,424
  5. Step 5: Solve for x
    x = 1,519,381,647,424/571,226
  6. Step 6: Final answer
    x = 2,659,860.80

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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.