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Finding the Third Proportional to 389,858 and 810,360

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Solution

The third proportional to 389,858 and 810,360 is: 1,684,416.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,858 : 810,360 = 810,360 : x
  2. Step 2: Convert to fraction form
    389,858/810,360 = 810,360/x
  3. Step 3: Cross multiply
    389,858x = 810,360 × 810,360
  4. Step 4: Simplify right side
    389,858x = 656,683,329,600
  5. Step 5: Solve for x
    x = 656,683,329,600/389,858
  6. Step 6: Final answer
    x = 1,684,416.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.