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Finding the Third Proportional to 561,119 and 870,626

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Solution

The third proportional to 561,119 and 870,626 is: 1,350,853.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,119 : 870,626 = 870,626 : x
  2. Step 2: Convert to fraction form
    561,119/870,626 = 870,626/x
  3. Step 3: Cross multiply
    561,119x = 870,626 × 870,626
  4. Step 4: Simplify right side
    561,119x = 757,989,631,876
  5. Step 5: Solve for x
    x = 757,989,631,876/561,119
  6. Step 6: Final answer
    x = 1,350,853.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.