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Finding the Third Proportional to 492,855 and 1,059,321

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Solution

The third proportional to 492,855 and 1,059,321 is: 2,276,858.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,855 : 1,059,321 = 1,059,321 : x
  2. Step 2: Convert to fraction form
    492,855/1,059,321 = 1,059,321/x
  3. Step 3: Cross multiply
    492,855x = 1,059,321 × 1,059,321
  4. Step 4: Simplify right side
    492,855x = 1,122,160,981,041
  5. Step 5: Solve for x
    x = 1,122,160,981,041/492,855
  6. Step 6: Final answer
    x = 2,276,858.27

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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.