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Finding the Third Proportional to 847,568.34 and 1,279,234.42

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Solution

The third proportional to 847,568.34 and 1,279,234.42 is: 1,930,747.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,568.34 : 1,279,234.42 = 1,279,234.42 : x
  2. Step 2: Convert to fraction form
    847,568.34/1,279,234.42 = 1,279,234.42/x
  3. Step 3: Cross multiply
    847,568.34x = 1,279,234.42 × 1,279,234.42
  4. Step 4: Simplify right side
    847,568.34x = 1,636,440,711,106.81
  5. Step 5: Solve for x
    x = 1,636,440,711,106.81/847,568.34
  6. Step 6: Final answer
    x = 1,930,747.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.