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Finding the Third Proportional to 1,288,792.27 and 1,946,329.38

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Solution

The third proportional to 1,288,792.27 and 1,946,329.38 is: 2,939,339.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288,792.27 : 1,946,329.38 = 1,946,329.38 : x
  2. Step 2: Convert to fraction form
    1,288,792.27/1,946,329.38 = 1,946,329.38/x
  3. Step 3: Cross multiply
    1,288,792.27x = 1,946,329.38 × 1,946,329.38
  4. Step 4: Simplify right side
    1,288,792.27x = 3,788,198,066,399.29
  5. Step 5: Solve for x
    x = 3,788,198,066,399.29/1,288,792.27
  6. Step 6: Final answer
    x = 2,939,339.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.