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Finding the Third Proportional to 406,844 and 850,864

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Solution

The third proportional to 406,844 and 850,864 is: 1,779,477.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,844 : 850,864 = 850,864 : x
  2. Step 2: Convert to fraction form
    406,844/850,864 = 850,864/x
  3. Step 3: Cross multiply
    406,844x = 850,864 × 850,864
  4. Step 4: Simplify right side
    406,844x = 723,969,546,496
  5. Step 5: Solve for x
    x = 723,969,546,496/406,844
  6. Step 6: Final answer
    x = 1,779,477.01

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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.