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Finding the Third Proportional to 1,029,517 and 1,565,266

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Solution

The third proportional to 1,029,517 and 1,565,266 is: 2,379,812.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029,517 : 1,565,266 = 1,565,266 : x
  2. Step 2: Convert to fraction form
    1,029,517/1,565,266 = 1,565,266/x
  3. Step 3: Cross multiply
    1,029,517x = 1,565,266 × 1,565,266
  4. Step 4: Simplify right side
    1,029,517x = 2,450,057,650,756
  5. Step 5: Solve for x
    x = 2,450,057,650,756/1,029,517
  6. Step 6: Final answer
    x = 2,379,812.72

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.