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Finding the Third Proportional to 448,183.13 and 971,043.19

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Solution

The third proportional to 448,183.13 and 971,043.19 is: 2,103,883.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,183.13 : 971,043.19 = 971,043.19 : x
  2. Step 2: Convert to fraction form
    448,183.13/971,043.19 = 971,043.19/x
  3. Step 3: Cross multiply
    448,183.13x = 971,043.19 × 971,043.19
  4. Step 4: Simplify right side
    448,183.13x = 942,924,871,990.16
  5. Step 5: Solve for x
    x = 942,924,871,990.16/448,183.13
  6. Step 6: Final answer
    x = 2,103,883.03

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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.