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Finding the Third Proportional to 776,812 and 1,661,560

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Solution

The third proportional to 776,812 and 1,661,560 is: 3,553,989.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,812 : 1,661,560 = 1,661,560 : x
  2. Step 2: Convert to fraction form
    776,812/1,661,560 = 1,661,560/x
  3. Step 3: Cross multiply
    776,812x = 1,661,560 × 1,661,560
  4. Step 4: Simplify right side
    776,812x = 2,760,781,633,600
  5. Step 5: Solve for x
    x = 2,760,781,633,600/776,812
  6. Step 6: Final answer
    x = 3,553,989.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.