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Finding the Third Proportional to 473,722 and 1,036,019

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Solution

The third proportional to 473,722 and 1,036,019 is: 2,265,749.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,722 : 1,036,019 = 1,036,019 : x
  2. Step 2: Convert to fraction form
    473,722/1,036,019 = 1,036,019/x
  3. Step 3: Cross multiply
    473,722x = 1,036,019 × 1,036,019
  4. Step 4: Simplify right side
    473,722x = 1,073,335,368,361
  5. Step 5: Solve for x
    x = 1,073,335,368,361/473,722
  6. Step 6: Final answer
    x = 2,265,749.47

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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.