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Finding the Third Proportional to 857,086 and 1,828,079

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Solution

The third proportional to 857,086 and 1,828,079 is: 3,899,110.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,086 : 1,828,079 = 1,828,079 : x
  2. Step 2: Convert to fraction form
    857,086/1,828,079 = 1,828,079/x
  3. Step 3: Cross multiply
    857,086x = 1,828,079 × 1,828,079
  4. Step 4: Simplify right side
    857,086x = 3,341,872,830,241
  5. Step 5: Solve for x
    x = 3,341,872,830,241/857,086
  6. Step 6: Final answer
    x = 3,899,110.28

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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.