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Finding the Third Proportional to 483,099.19 and 966,145.22

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Solution

The third proportional to 483,099.19 and 966,145.22 is: 1,932,184.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,099.19 : 966,145.22 = 966,145.22 : x
  2. Step 2: Convert to fraction form
    483,099.19/966,145.22 = 966,145.22/x
  3. Step 3: Cross multiply
    483,099.19x = 966,145.22 × 966,145.22
  4. Step 4: Simplify right side
    483,099.19x = 933,436,583,713.49
  5. Step 5: Solve for x
    x = 933,436,583,713.49/483,099.19
  6. Step 6: Final answer
    x = 1,932,184.13

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.