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Finding the Third Proportional to 1,048,022 and 2,245,588

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Solution

The third proportional to 1,048,022 and 2,245,588 is: 4,811,602.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048,022 : 2,245,588 = 2,245,588 : x
  2. Step 2: Convert to fraction form
    1,048,022/2,245,588 = 2,245,588/x
  3. Step 3: Cross multiply
    1,048,022x = 2,245,588 × 2,245,588
  4. Step 4: Simplify right side
    1,048,022x = 5,042,665,465,744
  5. Step 5: Solve for x
    x = 5,042,665,465,744/1,048,022
  6. Step 6: Final answer
    x = 4,811,602.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.