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Finding the Third Proportional to 340,731,726 and 741,162,828

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Solution

The third proportional to 340,731,726 and 741,162,828 is: 1,612,184,295.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,731,726 : 741,162,828 = 741,162,828 : x
  2. Step 2: Convert to fraction form
    340,731,726/741,162,828 = 741,162,828/x
  3. Step 3: Cross multiply
    340,731,726x = 741,162,828 × 741,162,828
  4. Step 4: Simplify right side
    340,731,726x = 549,322,337,608,957,568
  5. Step 5: Solve for x
    x = 549,322,337,608,957,568/340,731,726
  6. Step 6: Final answer
    x = 1,612,184,295.42

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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.