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Finding the Third Proportional to 1,433,693.25 and 2,200,297.50

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Solution

The third proportional to 1,433,693.25 and 2,200,297.50 is: 3,376,809.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433,693.25 : 2,200,297.50 = 2,200,297.50 : x
  2. Step 2: Convert to fraction form
    1,433,693.25/2,200,297.50 = 2,200,297.50/x
  3. Step 3: Cross multiply
    1,433,693.25x = 2,200,297.50 × 2,200,297.50
  4. Step 4: Simplify right side
    1,433,693.25x = 4,841,309,088,506.25
  5. Step 5: Solve for x
    x = 4,841,309,088,506.25/1,433,693.25
  6. Step 6: Final answer
    x = 3,376,809.57

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.