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Finding the Third Proportional to 772,412.25 and 1,691,967

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Solution

The third proportional to 772,412.25 and 1,691,967 is: 3,706,249.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,412.25 : 1,691,967 = 1,691,967 : x
  2. Step 2: Convert to fraction form
    772,412.25/1,691,967 = 1,691,967/x
  3. Step 3: Cross multiply
    772,412.25x = 1,691,967 × 1,691,967
  4. Step 4: Simplify right side
    772,412.25x = 2,862,752,329,089
  5. Step 5: Solve for x
    x = 2,862,752,329,089/772,412.25
  6. Step 6: Final answer
    x = 3,706,249.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.