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Finding the Third Proportional to 964,275.75 and 2,053,415.25

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Solution

The third proportional to 964,275.75 and 2,053,415.25 is: 4,372,726.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,275.75 : 2,053,415.25 = 2,053,415.25 : x
  2. Step 2: Convert to fraction form
    964,275.75/2,053,415.25 = 2,053,415.25/x
  3. Step 3: Cross multiply
    964,275.75x = 2,053,415.25 × 2,053,415.25
  4. Step 4: Simplify right side
    964,275.75x = 4,216,514,188,932.56
  5. Step 5: Solve for x
    x = 4,216,514,188,932.56/964,275.75
  6. Step 6: Final answer
    x = 4,372,726.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.