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Finding the Third Proportional to 1,541,022 and 2,045,313

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Solution

The third proportional to 1,541,022 and 2,045,313 is: 2,714,630.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541,022 : 2,045,313 = 2,045,313 : x
  2. Step 2: Convert to fraction form
    1,541,022/2,045,313 = 2,045,313/x
  3. Step 3: Cross multiply
    1,541,022x = 2,045,313 × 2,045,313
  4. Step 4: Simplify right side
    1,541,022x = 4,183,305,267,969
  5. Step 5: Solve for x
    x = 4,183,305,267,969/1,541,022
  6. Step 6: Final answer
    x = 2,714,630.46

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.