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Finding the Third Proportional to 1,865,125 and 2,965,828

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Solution

The third proportional to 1,865,125 and 2,965,828 is: 4,716,110.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865,125 : 2,965,828 = 2,965,828 : x
  2. Step 2: Convert to fraction form
    1,865,125/2,965,828 = 2,965,828/x
  3. Step 3: Cross multiply
    1,865,125x = 2,965,828 × 2,965,828
  4. Step 4: Simplify right side
    1,865,125x = 8,796,135,725,584
  5. Step 5: Solve for x
    x = 8,796,135,725,584/1,865,125
  6. Step 6: Final answer
    x = 4,716,110.57

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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.