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Finding the Third Proportional to 1,105,209.56 and 1,661,918.77

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Solution

The third proportional to 1,105,209.56 and 1,661,918.77 is: 2,499,050.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105,209.56 : 1,661,918.77 = 1,661,918.77 : x
  2. Step 2: Convert to fraction form
    1,105,209.56/1,661,918.77 = 1,661,918.77/x
  3. Step 3: Cross multiply
    1,105,209.56x = 1,661,918.77 × 1,661,918.77
  4. Step 4: Simplify right side
    1,105,209.56x = 2,761,973,983,536.52
  5. Step 5: Solve for x
    x = 2,761,973,983,536.52/1,105,209.56
  6. Step 6: Final answer
    x = 2,499,050.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.