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Finding the Third Proportional to 506,228 and 1,069,375

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Solution

The third proportional to 506,228 and 1,069,375 is: 2,258,987.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,228 : 1,069,375 = 1,069,375 : x
  2. Step 2: Convert to fraction form
    506,228/1,069,375 = 1,069,375/x
  3. Step 3: Cross multiply
    506,228x = 1,069,375 × 1,069,375
  4. Step 4: Simplify right side
    506,228x = 1,143,562,890,625
  5. Step 5: Solve for x
    x = 1,143,562,890,625/506,228
  6. Step 6: Final answer
    x = 2,258,987.83

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.