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Finding the Third Proportional to 771,204 and 1,671,120

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Solution

The third proportional to 771,204 and 1,671,120 is: 3,621,145.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,204 : 1,671,120 = 1,671,120 : x
  2. Step 2: Convert to fraction form
    771,204/1,671,120 = 1,671,120/x
  3. Step 3: Cross multiply
    771,204x = 1,671,120 × 1,671,120
  4. Step 4: Simplify right side
    771,204x = 2,792,642,054,400
  5. Step 5: Solve for x
    x = 2,792,642,054,400/771,204
  6. Step 6: Final answer
    x = 3,621,145.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.