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Finding the Third Proportional to 5,921,196 and 7,871,874

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Solution

The third proportional to 5,921,196 and 7,871,874 is: 10,465,183.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,921,196 : 7,871,874 = 7,871,874 : x
  2. Step 2: Convert to fraction form
    5,921,196/7,871,874 = 7,871,874/x
  3. Step 3: Cross multiply
    5,921,196x = 7,871,874 × 7,871,874
  4. Step 4: Simplify right side
    5,921,196x = 61,966,400,271,876
  5. Step 5: Solve for x
    x = 61,966,400,271,876/5,921,196
  6. Step 6: Final answer
    x = 10,465,183.09

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.