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Finding the Third Proportional to 773,280 and 1,183,032

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Solution

The third proportional to 773,280 and 1,183,032 is: 1,809,906.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,280 : 1,183,032 = 1,183,032 : x
  2. Step 2: Convert to fraction form
    773,280/1,183,032 = 1,183,032/x
  3. Step 3: Cross multiply
    773,280x = 1,183,032 × 1,183,032
  4. Step 4: Simplify right side
    773,280x = 1,399,564,713,024
  5. Step 5: Solve for x
    x = 1,399,564,713,024/773,280
  6. Step 6: Final answer
    x = 1,809,906.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.