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Finding the Third Proportional to 443,855.81 and 970,767.84

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Solution

The third proportional to 443,855.81 and 970,767.84 is: 2,123,189.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,855.81 : 970,767.84 = 970,767.84 : x
  2. Step 2: Convert to fraction form
    443,855.81/970,767.84 = 970,767.84/x
  3. Step 3: Cross multiply
    443,855.81x = 970,767.84 × 970,767.84
  4. Step 4: Simplify right side
    443,855.81x = 942,390,206,459.02
  5. Step 5: Solve for x
    x = 942,390,206,459.02/443,855.81
  6. Step 6: Final answer
    x = 2,123,189.96

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.