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Finding the Third Proportional to 864,266 and 1,146,849

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Solution

The third proportional to 864,266 and 1,146,849 is: 1,521,826.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,266 : 1,146,849 = 1,146,849 : x
  2. Step 2: Convert to fraction form
    864,266/1,146,849 = 1,146,849/x
  3. Step 3: Cross multiply
    864,266x = 1,146,849 × 1,146,849
  4. Step 4: Simplify right side
    864,266x = 1,315,262,628,801
  5. Step 5: Solve for x
    x = 1,315,262,628,801/864,266
  6. Step 6: Final answer
    x = 1,521,826.18

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.