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Finding the Third Proportional to 1,749,605 and 3,759,706

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Solution

The third proportional to 1,749,605 and 3,759,706 is: 8,079,188.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749,605 : 3,759,706 = 3,759,706 : x
  2. Step 2: Convert to fraction form
    1,749,605/3,759,706 = 3,759,706/x
  3. Step 3: Cross multiply
    1,749,605x = 3,759,706 × 3,759,706
  4. Step 4: Simplify right side
    1,749,605x = 14,135,389,206,436
  5. Step 5: Solve for x
    x = 14,135,389,206,436/1,749,605
  6. Step 6: Final answer
    x = 8,079,188.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.