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Finding the Third Proportional to 1,263,410 and 2,763,016

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Solution

The third proportional to 1,263,410 and 2,763,016 is: 6,042,581.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263,410 : 2,763,016 = 2,763,016 : x
  2. Step 2: Convert to fraction form
    1,263,410/2,763,016 = 2,763,016/x
  3. Step 3: Cross multiply
    1,263,410x = 2,763,016 × 2,763,016
  4. Step 4: Simplify right side
    1,263,410x = 7,634,257,416,256
  5. Step 5: Solve for x
    x = 7,634,257,416,256/1,263,410
  6. Step 6: Final answer
    x = 6,042,581.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.