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Finding the Third Proportional to 1,736,836 and 3,660,296

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Solution

The third proportional to 1,736,836 and 3,660,296 is: 7,713,892.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736,836 : 3,660,296 = 3,660,296 : x
  2. Step 2: Convert to fraction form
    1,736,836/3,660,296 = 3,660,296/x
  3. Step 3: Cross multiply
    1,736,836x = 3,660,296 × 3,660,296
  4. Step 4: Simplify right side
    1,736,836x = 13,397,766,807,616
  5. Step 5: Solve for x
    x = 13,397,766,807,616/1,736,836
  6. Step 6: Final answer
    x = 7,713,892.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.