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Finding the Third Proportional to 458,694 and 1,036,307

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Solution

The third proportional to 458,694 and 1,036,307 is: 2,341,282.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,694 : 1,036,307 = 1,036,307 : x
  2. Step 2: Convert to fraction form
    458,694/1,036,307 = 1,036,307/x
  3. Step 3: Cross multiply
    458,694x = 1,036,307 × 1,036,307
  4. Step 4: Simplify right side
    458,694x = 1,073,932,198,249
  5. Step 5: Solve for x
    x = 1,073,932,198,249/458,694
  6. Step 6: Final answer
    x = 2,341,282.42

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.