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Finding the Third Proportional to 1,535,810 and 2,067,515

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Solution

The third proportional to 1,535,810 and 2,067,515 is: 2,783,298.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535,810 : 2,067,515 = 2,067,515 : x
  2. Step 2: Convert to fraction form
    1,535,810/2,067,515 = 2,067,515/x
  3. Step 3: Cross multiply
    1,535,810x = 2,067,515 × 2,067,515
  4. Step 4: Simplify right side
    1,535,810x = 4,274,618,275,225
  5. Step 5: Solve for x
    x = 4,274,618,275,225/1,535,810
  6. Step 6: Final answer
    x = 2,783,298.89

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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.