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Finding the Third Proportional to 2,746,496 and 4,021,424

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Solution

The third proportional to 2,746,496 and 4,021,424 is: 5,888,175.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746,496 : 4,021,424 = 4,021,424 : x
  2. Step 2: Convert to fraction form
    2,746,496/4,021,424 = 4,021,424/x
  3. Step 3: Cross multiply
    2,746,496x = 4,021,424 × 4,021,424
  4. Step 4: Simplify right side
    2,746,496x = 16,171,850,987,776
  5. Step 5: Solve for x
    x = 16,171,850,987,776/2,746,496
  6. Step 6: Final answer
    x = 5,888,175.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.