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Finding the Third Proportional to 714,745.13 and 1,111,321.69

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Solution

The third proportional to 714,745.13 and 1,111,321.69 is: 1,727,938.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,745.13 : 1,111,321.69 = 1,111,321.69 : x
  2. Step 2: Convert to fraction form
    714,745.13/1,111,321.69 = 1,111,321.69/x
  3. Step 3: Cross multiply
    714,745.13x = 1,111,321.69 × 1,111,321.69
  4. Step 4: Simplify right side
    714,745.13x = 1,235,035,893,107.85
  5. Step 5: Solve for x
    x = 1,235,035,893,107.85/714,745.13
  6. Step 6: Final answer
    x = 1,727,938.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.