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Finding the Third Proportional to 688,134 and 1,619,042

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Solution

The third proportional to 688,134 and 1,619,042 is: 3,809,282.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,134 : 1,619,042 = 1,619,042 : x
  2. Step 2: Convert to fraction form
    688,134/1,619,042 = 1,619,042/x
  3. Step 3: Cross multiply
    688,134x = 1,619,042 × 1,619,042
  4. Step 4: Simplify right side
    688,134x = 2,621,296,997,764
  5. Step 5: Solve for x
    x = 2,621,296,997,764/688,134
  6. Step 6: Final answer
    x = 3,809,282.78

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.