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Finding the Third Proportional to 1,263,412 and 2,763,022

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Solution

The third proportional to 1,263,412 and 2,763,022 is: 6,042,597.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263,412 : 2,763,022 = 2,763,022 : x
  2. Step 2: Convert to fraction form
    1,263,412/2,763,022 = 2,763,022/x
  3. Step 3: Cross multiply
    1,263,412x = 2,763,022 × 2,763,022
  4. Step 4: Simplify right side
    1,263,412x = 7,634,290,572,484
  5. Step 5: Solve for x
    x = 7,634,290,572,484/1,263,412
  6. Step 6: Final answer
    x = 6,042,597.80

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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.