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Finding the Third Proportional to 569,228 and 892,914

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Solution

The third proportional to 569,228 and 892,914 is: 1,400,660.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,228 : 892,914 = 892,914 : x
  2. Step 2: Convert to fraction form
    569,228/892,914 = 892,914/x
  3. Step 3: Cross multiply
    569,228x = 892,914 × 892,914
  4. Step 4: Simplify right side
    569,228x = 797,295,411,396
  5. Step 5: Solve for x
    x = 797,295,411,396/569,228
  6. Step 6: Final answer
    x = 1,400,660.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.