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Finding the Third Proportional to 565,510 and 1,229,192

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Solution

The third proportional to 565,510 and 1,229,192 is: 2,671,770.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,510 : 1,229,192 = 1,229,192 : x
  2. Step 2: Convert to fraction form
    565,510/1,229,192 = 1,229,192/x
  3. Step 3: Cross multiply
    565,510x = 1,229,192 × 1,229,192
  4. Step 4: Simplify right side
    565,510x = 1,510,912,972,864
  5. Step 5: Solve for x
    x = 1,510,912,972,864/565,510
  6. Step 6: Final answer
    x = 2,671,770.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.