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Finding the Third Proportional to 1,124,674.50 and 1,741,960.50

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Solution

The third proportional to 1,124,674.50 and 1,741,960.50 is: 2,698,048.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124,674.50 : 1,741,960.50 = 1,741,960.50 : x
  2. Step 2: Convert to fraction form
    1,124,674.50/1,741,960.50 = 1,741,960.50/x
  3. Step 3: Cross multiply
    1,124,674.50x = 1,741,960.50 × 1,741,960.50
  4. Step 4: Simplify right side
    1,124,674.50x = 3,034,426,383,560.25
  5. Step 5: Solve for x
    x = 3,034,426,383,560.25/1,124,674.50
  6. Step 6: Final answer
    x = 2,698,048.53

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