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Finding the Third Proportional to 1,427,082 and 1,956,914

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Solution

The third proportional to 1,427,082 and 1,956,914 is: 2,683,456.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427,082 : 1,956,914 = 1,956,914 : x
  2. Step 2: Convert to fraction form
    1,427,082/1,956,914 = 1,956,914/x
  3. Step 3: Cross multiply
    1,427,082x = 1,956,914 × 1,956,914
  4. Step 4: Simplify right side
    1,427,082x = 3,829,512,403,396
  5. Step 5: Solve for x
    x = 3,829,512,403,396/1,427,082
  6. Step 6: Final answer
    x = 2,683,456.45

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.