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Finding the Third Proportional to 1,836,489 and 3,895,296

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Solution

The third proportional to 1,836,489 and 3,895,296 is: 8,262,140.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836,489 : 3,895,296 = 3,895,296 : x
  2. Step 2: Convert to fraction form
    1,836,489/3,895,296 = 3,895,296/x
  3. Step 3: Cross multiply
    1,836,489x = 3,895,296 × 3,895,296
  4. Step 4: Simplify right side
    1,836,489x = 15,173,330,927,616
  5. Step 5: Solve for x
    x = 15,173,330,927,616/1,836,489
  6. Step 6: Final answer
    x = 8,262,140.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.