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Finding the Third Proportional to 406,164.38 and 880,054.88

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Solution

The third proportional to 406,164.38 and 880,054.88 is: 1,906,855.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,164.38 : 880,054.88 = 880,054.88 : x
  2. Step 2: Convert to fraction form
    406,164.38/880,054.88 = 880,054.88/x
  3. Step 3: Cross multiply
    406,164.38x = 880,054.88 × 880,054.88
  4. Step 4: Simplify right side
    406,164.38x = 774,496,583,011.27
  5. Step 5: Solve for x
    x = 774,496,583,011.27/406,164.38
  6. Step 6: Final answer
    x = 1,906,855.03

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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.