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Finding the Third Proportional to 1,092,214 and 1,709,601

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Solution

The third proportional to 1,092,214 and 1,709,601 is: 2,675,973.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092,214 : 1,709,601 = 1,709,601 : x
  2. Step 2: Convert to fraction form
    1,092,214/1,709,601 = 1,709,601/x
  3. Step 3: Cross multiply
    1,092,214x = 1,709,601 × 1,709,601
  4. Step 4: Simplify right side
    1,092,214x = 2,922,735,579,201
  5. Step 5: Solve for x
    x = 2,922,735,579,201/1,092,214
  6. Step 6: Final answer
    x = 2,675,973.37

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.