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Finding the Third Proportional to 473,843 and 1,036,256

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Solution

The third proportional to 473,843 and 1,036,256 is: 2,266,207.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,843 : 1,036,256 = 1,036,256 : x
  2. Step 2: Convert to fraction form
    473,843/1,036,256 = 1,036,256/x
  3. Step 3: Cross multiply
    473,843x = 1,036,256 × 1,036,256
  4. Step 4: Simplify right side
    473,843x = 1,073,826,497,536
  5. Step 5: Solve for x
    x = 1,073,826,497,536/473,843
  6. Step 6: Final answer
    x = 2,266,207.37

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.