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Finding the Third Proportional to 406,846 and 850,868

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Solution

The third proportional to 406,846 and 850,868 is: 1,779,485.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,846 : 850,868 = 850,868 : x
  2. Step 2: Convert to fraction form
    406,846/850,868 = 850,868/x
  3. Step 3: Cross multiply
    406,846x = 850,868 × 850,868
  4. Step 4: Simplify right side
    406,846x = 723,976,353,424
  5. Step 5: Solve for x
    x = 723,976,353,424/406,846
  6. Step 6: Final answer
    x = 1,779,485.00

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.