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Finding the Third Proportional to 1,871,143.50 and 3,937,893

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Solution

The third proportional to 1,871,143.50 and 3,937,893 is: 8,287,446.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871,143.50 : 3,937,893 = 3,937,893 : x
  2. Step 2: Convert to fraction form
    1,871,143.50/3,937,893 = 3,937,893/x
  3. Step 3: Cross multiply
    1,871,143.50x = 3,937,893 × 3,937,893
  4. Step 4: Simplify right side
    1,871,143.50x = 15,507,001,279,449
  5. Step 5: Solve for x
    x = 15,507,001,279,449/1,871,143.50
  6. Step 6: Final answer
    x = 8,287,446.30

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.