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Finding the Third Proportional to 1,871,700.75 and 3,831,934.50

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Solution

The third proportional to 1,871,700.75 and 3,831,934.50 is: 7,845,122.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871,700.75 : 3,831,934.50 = 3,831,934.50 : x
  2. Step 2: Convert to fraction form
    1,871,700.75/3,831,934.50 = 3,831,934.50/x
  3. Step 3: Cross multiply
    1,871,700.75x = 3,831,934.50 × 3,831,934.50
  4. Step 4: Simplify right side
    1,871,700.75x = 14,683,722,012,290.25
  5. Step 5: Solve for x
    x = 14,683,722,012,290.25/1,871,700.75
  6. Step 6: Final answer
    x = 7,845,122.68

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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.