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Finding the Third Proportional to 612,413 and 1,298,949

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Solution

The third proportional to 612,413 and 1,298,949 is: 2,755,115.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,413 : 1,298,949 = 1,298,949 : x
  2. Step 2: Convert to fraction form
    612,413/1,298,949 = 1,298,949/x
  3. Step 3: Cross multiply
    612,413x = 1,298,949 × 1,298,949
  4. Step 4: Simplify right side
    612,413x = 1,687,268,504,601
  5. Step 5: Solve for x
    x = 1,687,268,504,601/612,413
  6. Step 6: Final answer
    x = 2,755,115.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.