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Finding the Third Proportional to 1,601,109 and 3,497,706

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Solution

The third proportional to 1,601,109 and 3,497,706 is: 7,640,920.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601,109 : 3,497,706 = 3,497,706 : x
  2. Step 2: Convert to fraction form
    1,601,109/3,497,706 = 3,497,706/x
  3. Step 3: Cross multiply
    1,601,109x = 3,497,706 × 3,497,706
  4. Step 4: Simplify right side
    1,601,109x = 12,233,947,262,436
  5. Step 5: Solve for x
    x = 12,233,947,262,436/1,601,109
  6. Step 6: Final answer
    x = 7,640,920.93

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.