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Finding the Third Proportional to 721,364 and 1,567,144

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Solution

The third proportional to 721,364 and 1,567,144 is: 3,404,578.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,364 : 1,567,144 = 1,567,144 : x
  2. Step 2: Convert to fraction form
    721,364/1,567,144 = 1,567,144/x
  3. Step 3: Cross multiply
    721,364x = 1,567,144 × 1,567,144
  4. Step 4: Simplify right side
    721,364x = 2,455,940,316,736
  5. Step 5: Solve for x
    x = 2,455,940,316,736/721,364
  6. Step 6: Final answer
    x = 3,404,578.43

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.