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Finding the Third Proportional to 746,273.25 and 1,121,596.88

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Solution

The third proportional to 746,273.25 and 1,121,596.88 is: 1,685,682.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,273.25 : 1,121,596.88 = 1,121,596.88 : x
  2. Step 2: Convert to fraction form
    746,273.25/1,121,596.88 = 1,121,596.88/x
  3. Step 3: Cross multiply
    746,273.25x = 1,121,596.88 × 1,121,596.88
  4. Step 4: Simplify right side
    746,273.25x = 1,257,979,550,009.77
  5. Step 5: Solve for x
    x = 1,257,979,550,009.77/746,273.25
  6. Step 6: Final answer
    x = 1,685,682.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.