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Finding the Third Proportional to 588,321 and 1,242,738

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Solution

The third proportional to 588,321 and 1,242,738 is: 2,625,093.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,321 : 1,242,738 = 1,242,738 : x
  2. Step 2: Convert to fraction form
    588,321/1,242,738 = 1,242,738/x
  3. Step 3: Cross multiply
    588,321x = 1,242,738 × 1,242,738
  4. Step 4: Simplify right side
    588,321x = 1,544,397,736,644
  5. Step 5: Solve for x
    x = 1,544,397,736,644/588,321
  6. Step 6: Final answer
    x = 2,625,093.68

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.