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Finding the Third Proportional to 857,134 and 1,825,258

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Solution

The third proportional to 857,134 and 1,825,258 is: 3,886,868.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,134 : 1,825,258 = 1,825,258 : x
  2. Step 2: Convert to fraction form
    857,134/1,825,258 = 1,825,258/x
  3. Step 3: Cross multiply
    857,134x = 1,825,258 × 1,825,258
  4. Step 4: Simplify right side
    857,134x = 3,331,566,766,564
  5. Step 5: Solve for x
    x = 3,331,566,766,564/857,134
  6. Step 6: Final answer
    x = 3,886,868.06

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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.