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Finding the Third Proportional to 473,812 and 1,036,197

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Solution

The third proportional to 473,812 and 1,036,197 is: 2,266,097.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,812 : 1,036,197 = 1,036,197 : x
  2. Step 2: Convert to fraction form
    473,812/1,036,197 = 1,036,197/x
  3. Step 3: Cross multiply
    473,812x = 1,036,197 × 1,036,197
  4. Step 4: Simplify right side
    473,812x = 1,073,704,222,809
  5. Step 5: Solve for x
    x = 1,073,704,222,809/473,812
  6. Step 6: Final answer
    x = 2,266,097.57

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Why These Related Problems?

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