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Finding the Third Proportional to 857,256 and 1,293,662

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Solution

The third proportional to 857,256 and 1,293,662 is: 1,952,230.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,256 : 1,293,662 = 1,293,662 : x
  2. Step 2: Convert to fraction form
    857,256/1,293,662 = 1,293,662/x
  3. Step 3: Cross multiply
    857,256x = 1,293,662 × 1,293,662
  4. Step 4: Simplify right side
    857,256x = 1,673,561,370,244
  5. Step 5: Solve for x
    x = 1,673,561,370,244/857,256
  6. Step 6: Final answer
    x = 1,952,230.57

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Why These Related Problems?

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