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Finding the Third Proportional to 1,347,343.50 and 2,871,063

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Solution

The third proportional to 1,347,343.50 and 2,871,063 is: 6,117,966.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347,343.50 : 2,871,063 = 2,871,063 : x
  2. Step 2: Convert to fraction form
    1,347,343.50/2,871,063 = 2,871,063/x
  3. Step 3: Cross multiply
    1,347,343.50x = 2,871,063 × 2,871,063
  4. Step 4: Simplify right side
    1,347,343.50x = 8,243,002,749,969
  5. Step 5: Solve for x
    x = 8,243,002,749,969/1,347,343.50
  6. Step 6: Final answer
    x = 6,117,966.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.