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Finding the Third Proportional to 740,767.50 and 1,616,144.63

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Solution

The third proportional to 740,767.50 and 1,616,144.63 is: 3,525,969.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,767.50 : 1,616,144.63 = 1,616,144.63 : x
  2. Step 2: Convert to fraction form
    740,767.50/1,616,144.63 = 1,616,144.63/x
  3. Step 3: Cross multiply
    740,767.50x = 1,616,144.63 × 1,616,144.63
  4. Step 4: Simplify right side
    740,767.50x = 2,611,923,448,916.39
  5. Step 5: Solve for x
    x = 2,611,923,448,916.39/740,767.50
  6. Step 6: Final answer
    x = 3,525,969.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.