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Finding the Third Proportional to 810,100 and 1,772,696

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Solution

The third proportional to 810,100 and 1,772,696 is: 3,879,090.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,100 : 1,772,696 = 1,772,696 : x
  2. Step 2: Convert to fraction form
    810,100/1,772,696 = 1,772,696/x
  3. Step 3: Cross multiply
    810,100x = 1,772,696 × 1,772,696
  4. Step 4: Simplify right side
    810,100x = 3,142,451,108,416
  5. Step 5: Solve for x
    x = 3,142,451,108,416/810,100
  6. Step 6: Final answer
    x = 3,879,090.37

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.