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Finding the Third Proportional to 1,786,069 and 3,914,097

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Solution

The third proportional to 1,786,069 and 3,914,097 is: 8,577,583.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786,069 : 3,914,097 = 3,914,097 : x
  2. Step 2: Convert to fraction form
    1,786,069/3,914,097 = 3,914,097/x
  3. Step 3: Cross multiply
    1,786,069x = 3,914,097 × 3,914,097
  4. Step 4: Simplify right side
    1,786,069x = 15,320,155,325,409
  5. Step 5: Solve for x
    x = 15,320,155,325,409/1,786,069
  6. Step 6: Final answer
    x = 8,577,583.13

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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.