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Finding the Third Proportional to 770,608.69 and 1,664,694.28

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Solution

The third proportional to 770,608.69 and 1,664,694.28 is: 3,596,127.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,608.69 : 1,664,694.28 = 1,664,694.28 : x
  2. Step 2: Convert to fraction form
    770,608.69/1,664,694.28 = 1,664,694.28/x
  3. Step 3: Cross multiply
    770,608.69x = 1,664,694.28 × 1,664,694.28
  4. Step 4: Simplify right side
    770,608.69x = 2,771,207,050,026.45
  5. Step 5: Solve for x
    x = 2,771,207,050,026.45/770,608.69
  6. Step 6: Final answer
    x = 3,596,127.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.