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Finding the Third Proportional to 1,102,674.38 and 2,374,297.88

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Solution

The third proportional to 1,102,674.38 and 2,374,297.88 is: 5,112,379.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102,674.38 : 2,374,297.88 = 2,374,297.88 : x
  2. Step 2: Convert to fraction form
    1,102,674.38/2,374,297.88 = 2,374,297.88/x
  3. Step 3: Cross multiply
    1,102,674.38x = 2,374,297.88 × 2,374,297.88
  4. Step 4: Simplify right side
    1,102,674.38x = 5,637,290,399,229.52
  5. Step 5: Solve for x
    x = 5,637,290,399,229.52/1,102,674.38
  6. Step 6: Final answer
    x = 5,112,379.98

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.