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Finding the Third Proportional to 1,366,401 and 1,946,463

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Solution

The third proportional to 1,366,401 and 1,946,463 is: 2,772,771.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366,401 : 1,946,463 = 1,946,463 : x
  2. Step 2: Convert to fraction form
    1,366,401/1,946,463 = 1,946,463/x
  3. Step 3: Cross multiply
    1,366,401x = 1,946,463 × 1,946,463
  4. Step 4: Simplify right side
    1,366,401x = 3,788,718,210,369
  5. Step 5: Solve for x
    x = 3,788,718,210,369/1,366,401
  6. Step 6: Final answer
    x = 2,772,771.84

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.