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Finding the Third Proportional to 477,162 and 1,040,058

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Solution

The third proportional to 477,162 and 1,040,058 is: 2,266,988.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,162 : 1,040,058 = 1,040,058 : x
  2. Step 2: Convert to fraction form
    477,162/1,040,058 = 1,040,058/x
  3. Step 3: Cross multiply
    477,162x = 1,040,058 × 1,040,058
  4. Step 4: Simplify right side
    477,162x = 1,081,720,643,364
  5. Step 5: Solve for x
    x = 1,081,720,643,364/477,162
  6. Step 6: Final answer
    x = 2,266,988.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.