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Finding the Third Proportional to 492,103.13 and 1,023,469.31

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Solution

The third proportional to 492,103.13 and 1,023,469.31 is: 2,128,597.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,103.13 : 1,023,469.31 = 1,023,469.31 : x
  2. Step 2: Convert to fraction form
    492,103.13/1,023,469.31 = 1,023,469.31/x
  3. Step 3: Cross multiply
    492,103.13x = 1,023,469.31 × 1,023,469.31
  4. Step 4: Simplify right side
    492,103.13x = 1,047,489,433,629.22
  5. Step 5: Solve for x
    x = 1,047,489,433,629.22/492,103.13
  6. Step 6: Final answer
    x = 2,128,597.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.