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Finding the Third Proportional to 1,263,414 and 2,763,024

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Solution

The third proportional to 1,263,414 and 2,763,024 is: 6,042,596.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263,414 : 2,763,024 = 2,763,024 : x
  2. Step 2: Convert to fraction form
    1,263,414/2,763,024 = 2,763,024/x
  3. Step 3: Cross multiply
    1,263,414x = 2,763,024 × 2,763,024
  4. Step 4: Simplify right side
    1,263,414x = 7,634,301,624,576
  5. Step 5: Solve for x
    x = 7,634,301,624,576/1,263,414
  6. Step 6: Final answer
    x = 6,042,596.98

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