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Finding the Third Proportional to 816,696 and 1,261,737

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Solution

The third proportional to 816,696 and 1,261,737 is: 1,949,293.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,696 : 1,261,737 = 1,261,737 : x
  2. Step 2: Convert to fraction form
    816,696/1,261,737 = 1,261,737/x
  3. Step 3: Cross multiply
    816,696x = 1,261,737 × 1,261,737
  4. Step 4: Simplify right side
    816,696x = 1,591,980,257,169
  5. Step 5: Solve for x
    x = 1,591,980,257,169/816,696
  6. Step 6: Final answer
    x = 1,949,293.56

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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.