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Finding the Third Proportional to 1,865,133 and 2,965,847

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Solution

The third proportional to 1,865,133 and 2,965,847 is: 4,716,150.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865,133 : 2,965,847 = 2,965,847 : x
  2. Step 2: Convert to fraction form
    1,865,133/2,965,847 = 2,965,847/x
  3. Step 3: Cross multiply
    1,865,133x = 2,965,847 × 2,965,847
  4. Step 4: Simplify right side
    1,865,133x = 8,796,248,427,409
  5. Step 5: Solve for x
    x = 8,796,248,427,409/1,865,133
  6. Step 6: Final answer
    x = 4,716,150.77

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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.