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Finding the Third Proportional to 1,304,184 and 2,765,376

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Solution

The third proportional to 1,304,184 and 2,765,376 is: 5,863,669.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304,184 : 2,765,376 = 2,765,376 : x
  2. Step 2: Convert to fraction form
    1,304,184/2,765,376 = 2,765,376/x
  3. Step 3: Cross multiply
    1,304,184x = 2,765,376 × 2,765,376
  4. Step 4: Simplify right side
    1,304,184x = 7,647,304,421,376
  5. Step 5: Solve for x
    x = 7,647,304,421,376/1,304,184
  6. Step 6: Final answer
    x = 5,863,669.87

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.