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Finding the Third Proportional to 2,467,309.50 and 3,871,368

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Solution

The third proportional to 2,467,309.50 and 3,871,368 is: 6,074,426.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467,309.50 : 3,871,368 = 3,871,368 : x
  2. Step 2: Convert to fraction form
    2,467,309.50/3,871,368 = 3,871,368/x
  3. Step 3: Cross multiply
    2,467,309.50x = 3,871,368 × 3,871,368
  4. Step 4: Simplify right side
    2,467,309.50x = 14,987,490,191,424
  5. Step 5: Solve for x
    x = 14,987,490,191,424/2,467,309.50
  6. Step 6: Final answer
    x = 6,074,426.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.