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Finding the Third Proportional to 1,827,057 and 4,018,611

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Solution

The third proportional to 1,827,057 and 4,018,611 is: 8,838,932.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827,057 : 4,018,611 = 4,018,611 : x
  2. Step 2: Convert to fraction form
    1,827,057/4,018,611 = 4,018,611/x
  3. Step 3: Cross multiply
    1,827,057x = 4,018,611 × 4,018,611
  4. Step 4: Simplify right side
    1,827,057x = 16,149,234,369,321
  5. Step 5: Solve for x
    x = 16,149,234,369,321/1,827,057
  6. Step 6: Final answer
    x = 8,838,932.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.