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Finding the Third Proportional to 773,770 and 1,183,555

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Solution

The third proportional to 773,770 and 1,183,555 is: 1,810,360.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,770 : 1,183,555 = 1,183,555 : x
  2. Step 2: Convert to fraction form
    773,770/1,183,555 = 1,183,555/x
  3. Step 3: Cross multiply
    773,770x = 1,183,555 × 1,183,555
  4. Step 4: Simplify right side
    773,770x = 1,400,802,438,025
  5. Step 5: Solve for x
    x = 1,400,802,438,025/773,770
  6. Step 6: Final answer
    x = 1,810,360.23

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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.