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Finding the Third Proportional to 756,831 and 1,655,718

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Solution

The third proportional to 756,831 and 1,655,718 is: 3,622,211.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,831 : 1,655,718 = 1,655,718 : x
  2. Step 2: Convert to fraction form
    756,831/1,655,718 = 1,655,718/x
  3. Step 3: Cross multiply
    756,831x = 1,655,718 × 1,655,718
  4. Step 4: Simplify right side
    756,831x = 2,741,402,095,524
  5. Step 5: Solve for x
    x = 2,741,402,095,524/756,831
  6. Step 6: Final answer
    x = 3,622,211.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.