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Finding the Third Proportional to 1,277,542.97 and 1,963,674.56

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Solution

The third proportional to 1,277,542.97 and 1,963,674.56 is: 3,018,307.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277,542.97 : 1,963,674.56 = 1,963,674.56 : x
  2. Step 2: Convert to fraction form
    1,277,542.97/1,963,674.56 = 1,963,674.56/x
  3. Step 3: Cross multiply
    1,277,542.97x = 1,963,674.56 × 1,963,674.56
  4. Step 4: Simplify right side
    1,277,542.97x = 3,856,017,787,409.57
  5. Step 5: Solve for x
    x = 3,856,017,787,409.57/1,277,542.97
  6. Step 6: Final answer
    x = 3,018,307.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.