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Finding the Third Proportional to 746,649 and 1,628,919

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Solution

The third proportional to 746,649 and 1,628,919 is: 3,553,714.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,649 : 1,628,919 = 1,628,919 : x
  2. Step 2: Convert to fraction form
    746,649/1,628,919 = 1,628,919/x
  3. Step 3: Cross multiply
    746,649x = 1,628,919 × 1,628,919
  4. Step 4: Simplify right side
    746,649x = 2,653,377,108,561
  5. Step 5: Solve for x
    x = 2,653,377,108,561/746,649
  6. Step 6: Final answer
    x = 3,553,714.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.