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Finding the Third Proportional to 1,535,841 and 2,067,546

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Solution

The third proportional to 1,535,841 and 2,067,546 is: 2,783,326.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535,841 : 2,067,546 = 2,067,546 : x
  2. Step 2: Convert to fraction form
    1,535,841/2,067,546 = 2,067,546/x
  3. Step 3: Cross multiply
    1,535,841x = 2,067,546 × 2,067,546
  4. Step 4: Simplify right side
    1,535,841x = 4,274,746,462,116
  5. Step 5: Solve for x
    x = 4,274,746,462,116/1,535,841
  6. Step 6: Final answer
    x = 2,783,326.18

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.