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Finding the Third Proportional to 612,051 and 1,325,742

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Solution

The third proportional to 612,051 and 1,325,742 is: 2,871,642.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,051 : 1,325,742 = 1,325,742 : x
  2. Step 2: Convert to fraction form
    612,051/1,325,742 = 1,325,742/x
  3. Step 3: Cross multiply
    612,051x = 1,325,742 × 1,325,742
  4. Step 4: Simplify right side
    612,051x = 1,757,591,850,564
  5. Step 5: Solve for x
    x = 1,757,591,850,564/612,051
  6. Step 6: Final answer
    x = 2,871,642.81

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.