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Finding the Third Proportional to 767,229 and 1,161,505

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Solution

The third proportional to 767,229 and 1,161,505 is: 1,758,397.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,229 : 1,161,505 = 1,161,505 : x
  2. Step 2: Convert to fraction form
    767,229/1,161,505 = 1,161,505/x
  3. Step 3: Cross multiply
    767,229x = 1,161,505 × 1,161,505
  4. Step 4: Simplify right side
    767,229x = 1,349,093,865,025
  5. Step 5: Solve for x
    x = 1,349,093,865,025/767,229
  6. Step 6: Final answer
    x = 1,758,397.90

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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.