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Finding the Third Proportional to 406,513.69 and 885,471.75

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Solution

The third proportional to 406,513.69 and 885,471.75 is: 1,928,742.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,513.69 : 885,471.75 = 885,471.75 : x
  2. Step 2: Convert to fraction form
    406,513.69/885,471.75 = 885,471.75/x
  3. Step 3: Cross multiply
    406,513.69x = 885,471.75 × 885,471.75
  4. Step 4: Simplify right side
    406,513.69x = 784,060,220,048.06
  5. Step 5: Solve for x
    x = 784,060,220,048.06/406,513.69
  6. Step 6: Final answer
    x = 1,928,742.49

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.