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Finding the Third Proportional to 769,337 and 1,674,130

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Solution

The third proportional to 769,337 and 1,674,130 is: 3,643,021.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,337 : 1,674,130 = 1,674,130 : x
  2. Step 2: Convert to fraction form
    769,337/1,674,130 = 1,674,130/x
  3. Step 3: Cross multiply
    769,337x = 1,674,130 × 1,674,130
  4. Step 4: Simplify right side
    769,337x = 2,802,711,256,900
  5. Step 5: Solve for x
    x = 2,802,711,256,900/769,337
  6. Step 6: Final answer
    x = 3,643,021.53

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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.