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Finding the Third Proportional to 1,314,069 and 2,871,723

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Solution

The third proportional to 1,314,069 and 2,871,723 is: 6,275,768.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314,069 : 2,871,723 = 2,871,723 : x
  2. Step 2: Convert to fraction form
    1,314,069/2,871,723 = 2,871,723/x
  3. Step 3: Cross multiply
    1,314,069x = 2,871,723 × 2,871,723
  4. Step 4: Simplify right side
    1,314,069x = 8,246,792,988,729
  5. Step 5: Solve for x
    x = 8,246,792,988,729/1,314,069
  6. Step 6: Final answer
    x = 6,275,768.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.