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Finding the Third Proportional to 389,670 and 838,524

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Solution

The third proportional to 389,670 and 838,524 is: 1,804,405.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,670 : 838,524 = 838,524 : x
  2. Step 2: Convert to fraction form
    389,670/838,524 = 838,524/x
  3. Step 3: Cross multiply
    389,670x = 838,524 × 838,524
  4. Step 4: Simplify right side
    389,670x = 703,122,498,576
  5. Step 5: Solve for x
    x = 703,122,498,576/389,670
  6. Step 6: Final answer
    x = 1,804,405.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.