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Finding the Third Proportional to 1,783,934 and 2,543,037

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Solution

The third proportional to 1,783,934 and 2,543,037 is: 3,625,154.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783,934 : 2,543,037 = 2,543,037 : x
  2. Step 2: Convert to fraction form
    1,783,934/2,543,037 = 2,543,037/x
  3. Step 3: Cross multiply
    1,783,934x = 2,543,037 × 2,543,037
  4. Step 4: Simplify right side
    1,783,934x = 6,467,037,183,369
  5. Step 5: Solve for x
    x = 6,467,037,183,369/1,783,934
  6. Step 6: Final answer
    x = 3,625,154.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.