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Finding the Third Proportional to 853,152.75 and 1,288,801.13

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Solution

The third proportional to 853,152.75 and 1,288,801.13 is: 1,946,906.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,152.75 : 1,288,801.13 = 1,288,801.13 : x
  2. Step 2: Convert to fraction form
    853,152.75/1,288,801.13 = 1,288,801.13/x
  3. Step 3: Cross multiply
    853,152.75x = 1,288,801.13 × 1,288,801.13
  4. Step 4: Simplify right side
    853,152.75x = 1,661,008,339,801.27
  5. Step 5: Solve for x
    x = 1,661,008,339,801.27/853,152.75
  6. Step 6: Final answer
    x = 1,946,906.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.