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Finding the Third Proportional to 1,782,469 and 3,849,037

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Solution

The third proportional to 1,782,469 and 3,849,037 is: 8,311,553.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782,469 : 3,849,037 = 3,849,037 : x
  2. Step 2: Convert to fraction form
    1,782,469/3,849,037 = 3,849,037/x
  3. Step 3: Cross multiply
    1,782,469x = 3,849,037 × 3,849,037
  4. Step 4: Simplify right side
    1,782,469x = 14,815,085,827,369
  5. Step 5: Solve for x
    x = 14,815,085,827,369/1,782,469
  6. Step 6: Final answer
    x = 8,311,553.15

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.