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Finding the Third Proportional to 384,027 and 837,930

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Solution

The third proportional to 384,027 and 837,930 is: 1,828,326.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,027 : 837,930 = 837,930 : x
  2. Step 2: Convert to fraction form
    384,027/837,930 = 837,930/x
  3. Step 3: Cross multiply
    384,027x = 837,930 × 837,930
  4. Step 4: Simplify right side
    384,027x = 702,126,684,900
  5. Step 5: Solve for x
    x = 702,126,684,900/384,027
  6. Step 6: Final answer
    x = 1,828,326.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.