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Finding the Third Proportional to 610,104 and 927,595

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Solution

The third proportional to 610,104 and 927,595 is: 1,410,304.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,104 : 927,595 = 927,595 : x
  2. Step 2: Convert to fraction form
    610,104/927,595 = 927,595/x
  3. Step 3: Cross multiply
    610,104x = 927,595 × 927,595
  4. Step 4: Simplify right side
    610,104x = 860,432,484,025
  5. Step 5: Solve for x
    x = 860,432,484,025/610,104
  6. Step 6: Final answer
    x = 1,410,304.61

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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.