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Finding the Third Proportional to 857,104 and 1,268,160

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Solution

The third proportional to 857,104 and 1,268,160 is: 1,876,353.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,104 : 1,268,160 = 1,268,160 : x
  2. Step 2: Convert to fraction form
    857,104/1,268,160 = 1,268,160/x
  3. Step 3: Cross multiply
    857,104x = 1,268,160 × 1,268,160
  4. Step 4: Simplify right side
    857,104x = 1,608,229,785,600
  5. Step 5: Solve for x
    x = 1,608,229,785,600/857,104
  6. Step 6: Final answer
    x = 1,876,353.14

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.