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Finding the Third Proportional to 420,884.44 and 920,500.88

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Solution

The third proportional to 420,884.44 and 920,500.88 is: 2,013,193.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,884.44 : 920,500.88 = 920,500.88 : x
  2. Step 2: Convert to fraction form
    420,884.44/920,500.88 = 920,500.88/x
  3. Step 3: Cross multiply
    420,884.44x = 920,500.88 × 920,500.88
  4. Step 4: Simplify right side
    420,884.44x = 847,321,860,875.77
  5. Step 5: Solve for x
    x = 847,321,860,875.77/420,884.44
  6. Step 6: Final answer
    x = 2,013,193.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.