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Finding the Third Proportional to 1,323,204 and 1,946,049

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Solution

The third proportional to 1,323,204 and 1,946,049 is: 2,862,073.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323,204 : 1,946,049 = 1,946,049 : x
  2. Step 2: Convert to fraction form
    1,323,204/1,946,049 = 1,946,049/x
  3. Step 3: Cross multiply
    1,323,204x = 1,946,049 × 1,946,049
  4. Step 4: Simplify right side
    1,323,204x = 3,787,106,710,401
  5. Step 5: Solve for x
    x = 3,787,106,710,401/1,323,204
  6. Step 6: Final answer
    x = 2,862,073.20

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.