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Finding the Third Proportional to 561,116 and 870,621

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Solution

The third proportional to 561,116 and 870,621 is: 1,350,845.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,116 : 870,621 = 870,621 : x
  2. Step 2: Convert to fraction form
    561,116/870,621 = 870,621/x
  3. Step 3: Cross multiply
    561,116x = 870,621 × 870,621
  4. Step 4: Simplify right side
    561,116x = 757,980,925,641
  5. Step 5: Solve for x
    x = 757,980,925,641/561,116
  6. Step 6: Final answer
    x = 1,350,845.33

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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.