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Finding the Third Proportional to 2,361,686 and 3,759,735

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Solution

The third proportional to 2,361,686 and 3,759,735 is: 5,985,388.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361,686 : 3,759,735 = 3,759,735 : x
  2. Step 2: Convert to fraction form
    2,361,686/3,759,735 = 3,759,735/x
  3. Step 3: Cross multiply
    2,361,686x = 3,759,735 × 3,759,735
  4. Step 4: Simplify right side
    2,361,686x = 14,135,607,270,225
  5. Step 5: Solve for x
    x = 14,135,607,270,225/2,361,686
  6. Step 6: Final answer
    x = 5,985,388.10

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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.