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Finding the Third Proportional to 1,865,132 and 2,965,836

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Solution

The third proportional to 1,865,132 and 2,965,836 is: 4,716,118.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865,132 : 2,965,836 = 2,965,836 : x
  2. Step 2: Convert to fraction form
    1,865,132/2,965,836 = 2,965,836/x
  3. Step 3: Cross multiply
    1,865,132x = 2,965,836 × 2,965,836
  4. Step 4: Simplify right side
    1,865,132x = 8,796,183,178,896
  5. Step 5: Solve for x
    x = 8,796,183,178,896/1,865,132
  6. Step 6: Final answer
    x = 4,716,118.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.