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Finding the Third Proportional to 772,105 and 1,164,234

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Solution

The third proportional to 772,105 and 1,164,234 is: 1,755,513.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,105 : 1,164,234 = 1,164,234 : x
  2. Step 2: Convert to fraction form
    772,105/1,164,234 = 1,164,234/x
  3. Step 3: Cross multiply
    772,105x = 1,164,234 × 1,164,234
  4. Step 4: Simplify right side
    772,105x = 1,355,440,806,756
  5. Step 5: Solve for x
    x = 1,355,440,806,756/772,105
  6. Step 6: Final answer
    x = 1,755,513.57

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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.