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Finding the Third Proportional to 853,810 and 1,286,324

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Solution

The third proportional to 853,810 and 1,286,324 is: 1,937,936.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,810 : 1,286,324 = 1,286,324 : x
  2. Step 2: Convert to fraction form
    853,810/1,286,324 = 1,286,324/x
  3. Step 3: Cross multiply
    853,810x = 1,286,324 × 1,286,324
  4. Step 4: Simplify right side
    853,810x = 1,654,629,432,976
  5. Step 5: Solve for x
    x = 1,654,629,432,976/853,810
  6. Step 6: Final answer
    x = 1,937,936.35

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