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Finding the Third Proportional to 2,082,498 and 3,145,932

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Solution

The third proportional to 2,082,498 and 3,145,932 is: 4,752,411.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082,498 : 3,145,932 = 3,145,932 : x
  2. Step 2: Convert to fraction form
    2,082,498/3,145,932 = 3,145,932/x
  3. Step 3: Cross multiply
    2,082,498x = 3,145,932 × 3,145,932
  4. Step 4: Simplify right side
    2,082,498x = 9,896,888,148,624
  5. Step 5: Solve for x
    x = 9,896,888,148,624/2,082,498
  6. Step 6: Final answer
    x = 4,752,411.84

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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.