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Finding the Third Proportional to 669,234.66 and 1,019,534.34

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Solution

The third proportional to 669,234.66 and 1,019,534.34 is: 1,553,192.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,234.66 : 1,019,534.34 = 1,019,534.34 : x
  2. Step 2: Convert to fraction form
    669,234.66/1,019,534.34 = 1,019,534.34/x
  3. Step 3: Cross multiply
    669,234.66x = 1,019,534.34 × 1,019,534.34
  4. Step 4: Simplify right side
    669,234.66x = 1,039,450,278,085.74
  5. Step 5: Solve for x
    x = 1,039,450,278,085.74/669,234.66
  6. Step 6: Final answer
    x = 1,553,192.54

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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.