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Finding the Third Proportional to 1,187,037 and 2,416,023

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Solution

The third proportional to 1,187,037 and 2,416,023 is: 4,917,426.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187,037 : 2,416,023 = 2,416,023 : x
  2. Step 2: Convert to fraction form
    1,187,037/2,416,023 = 2,416,023/x
  3. Step 3: Cross multiply
    1,187,037x = 2,416,023 × 2,416,023
  4. Step 4: Simplify right side
    1,187,037x = 5,837,167,136,529
  5. Step 5: Solve for x
    x = 5,837,167,136,529/1,187,037
  6. Step 6: Final answer
    x = 4,917,426.45

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.