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Finding the Third Proportional to 1,871,721 and 3,831,975

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Solution

The third proportional to 1,871,721 and 3,831,975 is: 7,845,203.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871,721 : 3,831,975 = 3,831,975 : x
  2. Step 2: Convert to fraction form
    1,871,721/3,831,975 = 3,831,975/x
  3. Step 3: Cross multiply
    1,871,721x = 3,831,975 × 3,831,975
  4. Step 4: Simplify right side
    1,871,721x = 14,684,032,400,625
  5. Step 5: Solve for x
    x = 14,684,032,400,625/1,871,721
  6. Step 6: Final answer
    x = 7,845,203.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.