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Finding the Third Proportional to 1,164,723 and 2,491,371

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Solution

The third proportional to 1,164,723 and 2,491,371 is: 5,329,103.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164,723 : 2,491,371 = 2,491,371 : x
  2. Step 2: Convert to fraction form
    1,164,723/2,491,371 = 2,491,371/x
  3. Step 3: Cross multiply
    1,164,723x = 2,491,371 × 2,491,371
  4. Step 4: Simplify right side
    1,164,723x = 6,206,929,459,641
  5. Step 5: Solve for x
    x = 6,206,929,459,641/1,164,723
  6. Step 6: Final answer
    x = 5,329,103.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.