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Finding the Third Proportional to 769,498.50 and 1,670,424

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Solution

The third proportional to 769,498.50 and 1,670,424 is: 3,626,149.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,498.50 : 1,670,424 = 1,670,424 : x
  2. Step 2: Convert to fraction form
    769,498.50/1,670,424 = 1,670,424/x
  3. Step 3: Cross multiply
    769,498.50x = 1,670,424 × 1,670,424
  4. Step 4: Simplify right side
    769,498.50x = 2,790,316,339,776
  5. Step 5: Solve for x
    x = 2,790,316,339,776/769,498.50
  6. Step 6: Final answer
    x = 3,626,149.16

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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.