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Finding the Third Proportional to 1,304,672 and 1,837,266

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Solution

The third proportional to 1,304,672 and 1,837,266 is: 2,587,275.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304,672 : 1,837,266 = 1,837,266 : x
  2. Step 2: Convert to fraction form
    1,304,672/1,837,266 = 1,837,266/x
  3. Step 3: Cross multiply
    1,304,672x = 1,837,266 × 1,837,266
  4. Step 4: Simplify right side
    1,304,672x = 3,375,546,354,756
  5. Step 5: Solve for x
    x = 3,375,546,354,756/1,304,672
  6. Step 6: Final answer
    x = 2,587,275.85

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.