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Finding the Third Proportional to 701,932 and 1,078,253

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Solution

The third proportional to 701,932 and 1,078,253 is: 1,656,327.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,932 : 1,078,253 = 1,078,253 : x
  2. Step 2: Convert to fraction form
    701,932/1,078,253 = 1,078,253/x
  3. Step 3: Cross multiply
    701,932x = 1,078,253 × 1,078,253
  4. Step 4: Simplify right side
    701,932x = 1,162,629,532,009
  5. Step 5: Solve for x
    x = 1,162,629,532,009/701,932
  6. Step 6: Final answer
    x = 1,656,327.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.