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Finding the Third Proportional to 815,906 and 1,146,948

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Solution

The third proportional to 815,906 and 1,146,948 is: 1,612,305.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,906 : 1,146,948 = 1,146,948 : x
  2. Step 2: Convert to fraction form
    815,906/1,146,948 = 1,146,948/x
  3. Step 3: Cross multiply
    815,906x = 1,146,948 × 1,146,948
  4. Step 4: Simplify right side
    815,906x = 1,315,489,714,704
  5. Step 5: Solve for x
    x = 1,315,489,714,704/815,906
  6. Step 6: Final answer
    x = 1,612,305.48

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.