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Finding the Third Proportional to 773,768 and 1,183,552

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Solution

The third proportional to 773,768 and 1,183,552 is: 1,810,355.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,768 : 1,183,552 = 1,183,552 : x
  2. Step 2: Convert to fraction form
    773,768/1,183,552 = 1,183,552/x
  3. Step 3: Cross multiply
    773,768x = 1,183,552 × 1,183,552
  4. Step 4: Simplify right side
    773,768x = 1,400,795,336,704
  5. Step 5: Solve for x
    x = 1,400,795,336,704/773,768
  6. Step 6: Final answer
    x = 1,810,355.74

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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.