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Finding the Third Proportional to 3,095,614 and 4,203,771

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Solution

The third proportional to 3,095,614 and 4,203,771 is: 5,708,622.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,095,614 : 4,203,771 = 4,203,771 : x
  2. Step 2: Convert to fraction form
    3,095,614/4,203,771 = 4,203,771/x
  3. Step 3: Cross multiply
    3,095,614x = 4,203,771 × 4,203,771
  4. Step 4: Simplify right side
    3,095,614x = 17,671,690,620,441
  5. Step 5: Solve for x
    x = 17,671,690,620,441/3,095,614
  6. Step 6: Final answer
    x = 5,708,622.14

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.