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Finding the Third Proportional to 857,794 and 1,143,596

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Solution

The third proportional to 857,794 and 1,143,596 is: 1,524,622.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,794 : 1,143,596 = 1,143,596 : x
  2. Step 2: Convert to fraction form
    857,794/1,143,596 = 1,143,596/x
  3. Step 3: Cross multiply
    857,794x = 1,143,596 × 1,143,596
  4. Step 4: Simplify right side
    857,794x = 1,307,811,811,216
  5. Step 5: Solve for x
    x = 1,307,811,811,216/857,794
  6. Step 6: Final answer
    x = 1,524,622.24

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.