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Finding the Third Proportional to 594,462 and 1,288,496

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Solution

The third proportional to 594,462 and 1,288,496 is: 2,792,814.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,462 : 1,288,496 = 1,288,496 : x
  2. Step 2: Convert to fraction form
    594,462/1,288,496 = 1,288,496/x
  3. Step 3: Cross multiply
    594,462x = 1,288,496 × 1,288,496
  4. Step 4: Simplify right side
    594,462x = 1,660,221,942,016
  5. Step 5: Solve for x
    x = 1,660,221,942,016/594,462
  6. Step 6: Final answer
    x = 2,792,814.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.