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Finding the Third Proportional to 431,159 and 906,967

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Solution

The third proportional to 431,159 and 906,967 is: 1,907,855.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,159 : 906,967 = 906,967 : x
  2. Step 2: Convert to fraction form
    431,159/906,967 = 906,967/x
  3. Step 3: Cross multiply
    431,159x = 906,967 × 906,967
  4. Step 4: Simplify right side
    431,159x = 822,589,139,089
  5. Step 5: Solve for x
    x = 822,589,139,089/431,159
  6. Step 6: Final answer
    x = 1,907,855.66

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.