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Finding the Third Proportional to 1,741,484 and 2,561,037

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Solution

The third proportional to 1,741,484 and 2,561,037 is: 3,766,276.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741,484 : 2,561,037 = 2,561,037 : x
  2. Step 2: Convert to fraction form
    1,741,484/2,561,037 = 2,561,037/x
  3. Step 3: Cross multiply
    1,741,484x = 2,561,037 × 2,561,037
  4. Step 4: Simplify right side
    1,741,484x = 6,558,910,515,369
  5. Step 5: Solve for x
    x = 6,558,910,515,369/1,741,484
  6. Step 6: Final answer
    x = 3,766,276.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.