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Finding the Third Proportional to 630,186 and 945,738

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Solution

The third proportional to 630,186 and 945,738 is: 1,419,295.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,186 : 945,738 = 945,738 : x
  2. Step 2: Convert to fraction form
    630,186/945,738 = 945,738/x
  3. Step 3: Cross multiply
    630,186x = 945,738 × 945,738
  4. Step 4: Simplify right side
    630,186x = 894,420,364,644
  5. Step 5: Solve for x
    x = 894,420,364,644/630,186
  6. Step 6: Final answer
    x = 1,419,295.83

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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.