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Finding the Third Proportional to 794,736 and 1,724,024

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Solution

The third proportional to 794,736 and 1,724,024 is: 3,739,932.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    794,736 : 1,724,024 = 1,724,024 : x
  2. Step 2: Convert to fraction form
    794,736/1,724,024 = 1,724,024/x
  3. Step 3: Cross multiply
    794,736x = 1,724,024 × 1,724,024
  4. Step 4: Simplify right side
    794,736x = 2,972,258,752,576
  5. Step 5: Solve for x
    x = 2,972,258,752,576/794,736
  6. Step 6: Final answer
    x = 3,739,932.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.