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Finding the Third Proportional to 365,520 and 846,126

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Solution

The third proportional to 365,520 and 846,126 is: 1,958,659.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,520 : 846,126 = 846,126 : x
  2. Step 2: Convert to fraction form
    365,520/846,126 = 846,126/x
  3. Step 3: Cross multiply
    365,520x = 846,126 × 846,126
  4. Step 4: Simplify right side
    365,520x = 715,929,207,876
  5. Step 5: Solve for x
    x = 715,929,207,876/365,520
  6. Step 6: Final answer
    x = 1,958,659.47

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.