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Finding the Third Proportional to 813,159 and 1,086,696

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Solution

The third proportional to 813,159 and 1,086,696 is: 1,452,247.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,159 : 1,086,696 = 1,086,696 : x
  2. Step 2: Convert to fraction form
    813,159/1,086,696 = 1,086,696/x
  3. Step 3: Cross multiply
    813,159x = 1,086,696 × 1,086,696
  4. Step 4: Simplify right side
    813,159x = 1,180,908,196,416
  5. Step 5: Solve for x
    x = 1,180,908,196,416/813,159
  6. Step 6: Final answer
    x = 1,452,247.59

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.