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Finding the Third Proportional to 1,628,764 and 3,509,966

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Solution

The third proportional to 1,628,764 and 3,509,966 is: 7,563,932.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628,764 : 3,509,966 = 3,509,966 : x
  2. Step 2: Convert to fraction form
    1,628,764/3,509,966 = 3,509,966/x
  3. Step 3: Cross multiply
    1,628,764x = 3,509,966 × 3,509,966
  4. Step 4: Simplify right side
    1,628,764x = 12,319,861,321,156
  5. Step 5: Solve for x
    x = 12,319,861,321,156/1,628,764
  6. Step 6: Final answer
    x = 7,563,932.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.