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Finding the Third Proportional to 858,721.50 and 1,253,616.75

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Solution

The third proportional to 858,721.50 and 1,253,616.75 is: 1,830,110.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,721.50 : 1,253,616.75 = 1,253,616.75 : x
  2. Step 2: Convert to fraction form
    858,721.50/1,253,616.75 = 1,253,616.75/x
  3. Step 3: Cross multiply
    858,721.50x = 1,253,616.75 × 1,253,616.75
  4. Step 4: Simplify right side
    858,721.50x = 1,571,554,955,880.56
  5. Step 5: Solve for x
    x = 1,571,554,955,880.56/858,721.50
  6. Step 6: Final answer
    x = 1,830,110.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.