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Finding the Third Proportional to 701,541 and 1,093,378.50

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Solution

The third proportional to 701,541 and 1,093,378.50 is: 1,704,072.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,541 : 1,093,378.50 = 1,093,378.50 : x
  2. Step 2: Convert to fraction form
    701,541/1,093,378.50 = 1,093,378.50/x
  3. Step 3: Cross multiply
    701,541x = 1,093,378.50 × 1,093,378.50
  4. Step 4: Simplify right side
    701,541x = 1,195,476,544,262.25
  5. Step 5: Solve for x
    x = 1,195,476,544,262.25/701,541
  6. Step 6: Final answer
    x = 1,704,072.24

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.