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Finding the Third Proportional to 3,934,291.50 and 6,255,893.25

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Solution

The third proportional to 3,934,291.50 and 6,255,893.25 is: 9,947,458.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934,291.50 : 6,255,893.25 = 6,255,893.25 : x
  2. Step 2: Convert to fraction form
    3,934,291.50/6,255,893.25 = 6,255,893.25/x
  3. Step 3: Cross multiply
    3,934,291.50x = 6,255,893.25 × 6,255,893.25
  4. Step 4: Simplify right side
    3,934,291.50x = 39,136,200,355,395.56
  5. Step 5: Solve for x
    x = 39,136,200,355,395.56/3,934,291.50
  6. Step 6: Final answer
    x = 9,947,458.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.