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Finding the Third Proportional to 766,082 and 1,159,788

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Solution

The third proportional to 766,082 and 1,159,788 is: 1,755,827.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,082 : 1,159,788 = 1,159,788 : x
  2. Step 2: Convert to fraction form
    766,082/1,159,788 = 1,159,788/x
  3. Step 3: Cross multiply
    766,082x = 1,159,788 × 1,159,788
  4. Step 4: Simplify right side
    766,082x = 1,345,108,204,944
  5. Step 5: Solve for x
    x = 1,345,108,204,944/766,082
  6. Step 6: Final answer
    x = 1,755,827.97

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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.