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Finding the Third Proportional to 2,542,706.50 and 3,837,706

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Solution

The third proportional to 2,542,706.50 and 3,837,706 is: 5,792,248.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542,706.50 : 3,837,706 = 3,837,706 : x
  2. Step 2: Convert to fraction form
    2,542,706.50/3,837,706 = 3,837,706/x
  3. Step 3: Cross multiply
    2,542,706.50x = 3,837,706 × 3,837,706
  4. Step 4: Simplify right side
    2,542,706.50x = 14,727,987,342,436
  5. Step 5: Solve for x
    x = 14,727,987,342,436/2,542,706.50
  6. Step 6: Final answer
    x = 5,792,248.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.