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Finding the Third Proportional to 1,535,827.50 and 2,067,528.38

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Solution

The third proportional to 1,535,827.50 and 2,067,528.38 is: 2,783,303.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535,827.50 : 2,067,528.38 = 2,067,528.38 : x
  2. Step 2: Convert to fraction form
    1,535,827.50/2,067,528.38 = 2,067,528.38/x
  3. Step 3: Cross multiply
    1,535,827.50x = 2,067,528.38 × 2,067,528.38
  4. Step 4: Simplify right side
    1,535,827.50x = 4,274,673,581,430.14
  5. Step 5: Solve for x
    x = 4,274,673,581,430.14/1,535,827.50
  6. Step 6: Final answer
    x = 2,783,303.19

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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.