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Finding the Third Proportional to 523,844 and 1,143,642

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Solution

The third proportional to 523,844 and 1,143,642 is: 2,496,768.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,844 : 1,143,642 = 1,143,642 : x
  2. Step 2: Convert to fraction form
    523,844/1,143,642 = 1,143,642/x
  3. Step 3: Cross multiply
    523,844x = 1,143,642 × 1,143,642
  4. Step 4: Simplify right side
    523,844x = 1,307,917,024,164
  5. Step 5: Solve for x
    x = 1,307,917,024,164/523,844
  6. Step 6: Final answer
    x = 2,496,768.17

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.