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Finding the Third Proportional to 594,170 and 894,103

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Solution

The third proportional to 594,170 and 894,103 is: 1,345,440.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,170 : 894,103 = 894,103 : x
  2. Step 2: Convert to fraction form
    594,170/894,103 = 894,103/x
  3. Step 3: Cross multiply
    594,170x = 894,103 × 894,103
  4. Step 4: Simplify right side
    594,170x = 799,420,174,609
  5. Step 5: Solve for x
    x = 799,420,174,609/594,170
  6. Step 6: Final answer
    x = 1,345,440.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.