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Finding the Third Proportional to 407,646 and 885,523.50

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Solution

The third proportional to 407,646 and 885,523.50 is: 1,923,609.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,646 : 885,523.50 = 885,523.50 : x
  2. Step 2: Convert to fraction form
    407,646/885,523.50 = 885,523.50/x
  3. Step 3: Cross multiply
    407,646x = 885,523.50 × 885,523.50
  4. Step 4: Simplify right side
    407,646x = 784,151,869,052.25
  5. Step 5: Solve for x
    x = 784,151,869,052.25/407,646
  6. Step 6: Final answer
    x = 1,923,609.87

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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.