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Finding the Third Proportional to 2,082,484 and 3,145,914

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Solution

The third proportional to 2,082,484 and 3,145,914 is: 4,752,389.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082,484 : 3,145,914 = 3,145,914 : x
  2. Step 2: Convert to fraction form
    2,082,484/3,145,914 = 3,145,914/x
  3. Step 3: Cross multiply
    2,082,484x = 3,145,914 × 3,145,914
  4. Step 4: Simplify right side
    2,082,484x = 9,896,774,895,396
  5. Step 5: Solve for x
    x = 9,896,774,895,396/2,082,484
  6. Step 6: Final answer
    x = 4,752,389.40

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.