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Finding the Third Proportional to 862,220 and 1,305,255

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Solution

The third proportional to 862,220 and 1,305,255 is: 1,975,934.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,220 : 1,305,255 = 1,305,255 : x
  2. Step 2: Convert to fraction form
    862,220/1,305,255 = 1,305,255/x
  3. Step 3: Cross multiply
    862,220x = 1,305,255 × 1,305,255
  4. Step 4: Simplify right side
    862,220x = 1,703,690,615,025
  5. Step 5: Solve for x
    x = 1,703,690,615,025/862,220
  6. Step 6: Final answer
    x = 1,975,934.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.