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Finding the Third Proportional to 573,793 and 1,260,823

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Solution

The third proportional to 573,793 and 1,260,823 is: 2,770,467.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,793 : 1,260,823 = 1,260,823 : x
  2. Step 2: Convert to fraction form
    573,793/1,260,823 = 1,260,823/x
  3. Step 3: Cross multiply
    573,793x = 1,260,823 × 1,260,823
  4. Step 4: Simplify right side
    573,793x = 1,589,674,637,329
  5. Step 5: Solve for x
    x = 1,589,674,637,329/573,793
  6. Step 6: Final answer
    x = 2,770,467.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.