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Finding the Third Proportional to 476,906.91 and 1,036,645.59

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Solution

The third proportional to 476,906.91 and 1,036,645.59 is: 2,253,341.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,906.91 : 1,036,645.59 = 1,036,645.59 : x
  2. Step 2: Convert to fraction form
    476,906.91/1,036,645.59 = 1,036,645.59/x
  3. Step 3: Cross multiply
    476,906.91x = 1,036,645.59 × 1,036,645.59
  4. Step 4: Simplify right side
    476,906.91x = 1,074,634,087,041.29
  5. Step 5: Solve for x
    x = 1,074,634,087,041.29/476,906.91
  6. Step 6: Final answer
    x = 2,253,341.42

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.