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Finding the Third Proportional to 610,105 and 927,596

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Solution

The third proportional to 610,105 and 927,596 is: 1,410,305.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,105 : 927,596 = 927,596 : x
  2. Step 2: Convert to fraction form
    610,105/927,596 = 927,596/x
  3. Step 3: Cross multiply
    610,105x = 927,596 × 927,596
  4. Step 4: Simplify right side
    610,105x = 860,434,339,216
  5. Step 5: Solve for x
    x = 860,434,339,216/610,105
  6. Step 6: Final answer
    x = 1,410,305.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.