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Finding the Third Proportional to 710,619.75 and 1,093,376.75

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Solution

The third proportional to 710,619.75 and 1,093,376.75 is: 1,682,295.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,619.75 : 1,093,376.75 = 1,093,376.75 : x
  2. Step 2: Convert to fraction form
    710,619.75/1,093,376.75 = 1,093,376.75/x
  3. Step 3: Cross multiply
    710,619.75x = 1,093,376.75 × 1,093,376.75
  4. Step 4: Simplify right side
    710,619.75x = 1,195,472,717,440.56
  5. Step 5: Solve for x
    x = 1,195,472,717,440.56/710,619.75
  6. Step 6: Final answer
    x = 1,682,295.94

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Why These Related Problems?

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