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Finding the Third Proportional to 691,095.75 and 1,081,763

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Solution

The third proportional to 691,095.75 and 1,081,763 is: 1,693,269.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,095.75 : 1,081,763 = 1,081,763 : x
  2. Step 2: Convert to fraction form
    691,095.75/1,081,763 = 1,081,763/x
  3. Step 3: Cross multiply
    691,095.75x = 1,081,763 × 1,081,763
  4. Step 4: Simplify right side
    691,095.75x = 1,170,211,188,169
  5. Step 5: Solve for x
    x = 1,170,211,188,169/691,095.75
  6. Step 6: Final answer
    x = 1,693,269.26

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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.