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Finding the Third Proportional to 773,718 and 1,183,473

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Solution

The third proportional to 773,718 and 1,183,473 is: 1,810,231.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,718 : 1,183,473 = 1,183,473 : x
  2. Step 2: Convert to fraction form
    773,718/1,183,473 = 1,183,473/x
  3. Step 3: Cross multiply
    773,718x = 1,183,473 × 1,183,473
  4. Step 4: Simplify right side
    773,718x = 1,400,608,341,729
  5. Step 5: Solve for x
    x = 1,400,608,341,729/773,718
  6. Step 6: Final answer
    x = 1,810,231.04

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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.