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Finding the Third Proportional to 1,024,774 and 1,531,515

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Solution

The third proportional to 1,024,774 and 1,531,515 is: 2,288,834.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,774 : 1,531,515 = 1,531,515 : x
  2. Step 2: Convert to fraction form
    1,024,774/1,531,515 = 1,531,515/x
  3. Step 3: Cross multiply
    1,024,774x = 1,531,515 × 1,531,515
  4. Step 4: Simplify right side
    1,024,774x = 2,345,538,195,225
  5. Step 5: Solve for x
    x = 2,345,538,195,225/1,024,774
  6. Step 6: Final answer
    x = 2,288,834.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.