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Finding the Third Proportional to 1,121,698.13 and 1,729,203.19

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Solution

The third proportional to 1,121,698.13 and 1,729,203.19 is: 2,665,729.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121,698.13 : 1,729,203.19 = 1,729,203.19 : x
  2. Step 2: Convert to fraction form
    1,121,698.13/1,729,203.19 = 1,729,203.19/x
  3. Step 3: Cross multiply
    1,121,698.13x = 1,729,203.19 × 1,729,203.19
  4. Step 4: Simplify right side
    1,121,698.13x = 2,990,143,663,660.16
  5. Step 5: Solve for x
    x = 2,990,143,663,660.16/1,121,698.13
  6. Step 6: Final answer
    x = 2,665,729.39

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.