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Finding the Third Proportional to 546,623.91 and 805,923.09

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Solution

The third proportional to 546,623.91 and 805,923.09 is: 1,188,224.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,623.91 : 805,923.09 = 805,923.09 : x
  2. Step 2: Convert to fraction form
    546,623.91/805,923.09 = 805,923.09/x
  3. Step 3: Cross multiply
    546,623.91x = 805,923.09 × 805,923.09
  4. Step 4: Simplify right side
    546,623.91x = 649,512,033,039.57
  5. Step 5: Solve for x
    x = 649,512,033,039.57/546,623.91
  6. Step 6: Final answer
    x = 1,188,224.71

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.