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Finding the Third Proportional to 769,495.50 and 1,670,418

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Solution

The third proportional to 769,495.50 and 1,670,418 is: 3,626,137.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,495.50 : 1,670,418 = 1,670,418 : x
  2. Step 2: Convert to fraction form
    769,495.50/1,670,418 = 1,670,418/x
  3. Step 3: Cross multiply
    769,495.50x = 1,670,418 × 1,670,418
  4. Step 4: Simplify right side
    769,495.50x = 2,790,296,294,724
  5. Step 5: Solve for x
    x = 2,790,296,294,724/769,495.50
  6. Step 6: Final answer
    x = 3,626,137.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.