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Finding the Third Proportional to 1,364,305.78 and 2,970,653.48

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Solution

The third proportional to 1,364,305.78 and 2,970,653.48 is: 6,468,331.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364,305.78 : 2,970,653.48 = 2,970,653.48 : x
  2. Step 2: Convert to fraction form
    1,364,305.78/2,970,653.48 = 2,970,653.48/x
  3. Step 3: Cross multiply
    1,364,305.78x = 2,970,653.48 × 2,970,653.48
  4. Step 4: Simplify right side
    1,364,305.78x = 8,824,782,124,229.33
  5. Step 5: Solve for x
    x = 8,824,782,124,229.33/1,364,305.78
  6. Step 6: Final answer
    x = 6,468,331.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.