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Finding the Third Proportional to 1,683,717 and 3,693,406

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Solution

The third proportional to 1,683,717 and 3,693,406 is: 8,101,865.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683,717 : 3,693,406 = 3,693,406 : x
  2. Step 2: Convert to fraction form
    1,683,717/3,693,406 = 3,693,406/x
  3. Step 3: Cross multiply
    1,683,717x = 3,693,406 × 3,693,406
  4. Step 4: Simplify right side
    1,683,717x = 13,641,247,880,836
  5. Step 5: Solve for x
    x = 13,641,247,880,836/1,683,717
  6. Step 6: Final answer
    x = 8,101,865.03

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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.