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Finding the Third Proportional to 766,958 and 1,203,195

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Solution

The third proportional to 766,958 and 1,203,195 is: 1,887,558.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,958 : 1,203,195 = 1,203,195 : x
  2. Step 2: Convert to fraction form
    766,958/1,203,195 = 1,203,195/x
  3. Step 3: Cross multiply
    766,958x = 1,203,195 × 1,203,195
  4. Step 4: Simplify right side
    766,958x = 1,447,678,208,025
  5. Step 5: Solve for x
    x = 1,447,678,208,025/766,958
  6. Step 6: Final answer
    x = 1,887,558.65

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.