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Finding the Third Proportional to 447,885.07 and 974,499.29

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Solution

The third proportional to 447,885.07 and 974,499.29 is: 2,120,295.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,885.07 : 974,499.29 = 974,499.29 : x
  2. Step 2: Convert to fraction form
    447,885.07/974,499.29 = 974,499.29/x
  3. Step 3: Cross multiply
    447,885.07x = 974,499.29 × 974,499.29
  4. Step 4: Simplify right side
    447,885.07x = 949,648,871,996.59
  5. Step 5: Solve for x
    x = 949,648,871,996.59/447,885.07
  6. Step 6: Final answer
    x = 2,120,295.89

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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.