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Finding the Third Proportional to 824,178 and 1,273,629.75

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Solution

The third proportional to 824,178 and 1,273,629.75 is: 1,968,182.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,178 : 1,273,629.75 = 1,273,629.75 : x
  2. Step 2: Convert to fraction form
    824,178/1,273,629.75 = 1,273,629.75/x
  3. Step 3: Cross multiply
    824,178x = 1,273,629.75 × 1,273,629.75
  4. Step 4: Simplify right side
    824,178x = 1,622,132,740,085.06
  5. Step 5: Solve for x
    x = 1,622,132,740,085.06/824,178
  6. Step 6: Final answer
    x = 1,968,182.53

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.