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Finding the Third Proportional to 510,568 and 1,063,152

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Solution

The third proportional to 510,568 and 1,063,152 is: 2,213,793.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,568 : 1,063,152 = 1,063,152 : x
  2. Step 2: Convert to fraction form
    510,568/1,063,152 = 1,063,152/x
  3. Step 3: Cross multiply
    510,568x = 1,063,152 × 1,063,152
  4. Step 4: Simplify right side
    510,568x = 1,130,292,175,104
  5. Step 5: Solve for x
    x = 1,130,292,175,104/510,568
  6. Step 6: Final answer
    x = 2,213,793.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.