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Finding the Third Proportional to 492,794 and 1,059,205

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Solution

The third proportional to 492,794 and 1,059,205 is: 2,276,641.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,794 : 1,059,205 = 1,059,205 : x
  2. Step 2: Convert to fraction form
    492,794/1,059,205 = 1,059,205/x
  3. Step 3: Cross multiply
    492,794x = 1,059,205 × 1,059,205
  4. Step 4: Simplify right side
    492,794x = 1,121,915,232,025
  5. Step 5: Solve for x
    x = 1,121,915,232,025/492,794
  6. Step 6: Final answer
    x = 2,276,641.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.