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Finding the Third Proportional to 766,422 and 1,160,238

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Solution

The third proportional to 766,422 and 1,160,238 is: 1,756,411.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,422 : 1,160,238 = 1,160,238 : x
  2. Step 2: Convert to fraction form
    766,422/1,160,238 = 1,160,238/x
  3. Step 3: Cross multiply
    766,422x = 1,160,238 × 1,160,238
  4. Step 4: Simplify right side
    766,422x = 1,346,152,216,644
  5. Step 5: Solve for x
    x = 1,346,152,216,644/766,422
  6. Step 6: Final answer
    x = 1,756,411.24

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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.