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Finding the Third Proportional to 743,774 and 1,181,973

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Solution

The third proportional to 743,774 and 1,181,973 is: 1,878,339.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,774 : 1,181,973 = 1,181,973 : x
  2. Step 2: Convert to fraction form
    743,774/1,181,973 = 1,181,973/x
  3. Step 3: Cross multiply
    743,774x = 1,181,973 × 1,181,973
  4. Step 4: Simplify right side
    743,774x = 1,397,060,172,729
  5. Step 5: Solve for x
    x = 1,397,060,172,729/743,774
  6. Step 6: Final answer
    x = 1,878,339.62

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.