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Finding the Third Proportional to 763,000 and 1,179,568

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Solution

The third proportional to 763,000 and 1,179,568 is: 1,823,565.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,000 : 1,179,568 = 1,179,568 : x
  2. Step 2: Convert to fraction form
    763,000/1,179,568 = 1,179,568/x
  3. Step 3: Cross multiply
    763,000x = 1,179,568 × 1,179,568
  4. Step 4: Simplify right side
    763,000x = 1,391,380,666,624
  5. Step 5: Solve for x
    x = 1,391,380,666,624/763,000
  6. Step 6: Final answer
    x = 1,823,565.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.