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Finding the Third Proportional to 1,926,640.69 and 4,234,649.63

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Solution

The third proportional to 1,926,640.69 and 4,234,649.63 is: 9,307,525.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926,640.69 : 4,234,649.63 = 4,234,649.63 : x
  2. Step 2: Convert to fraction form
    1,926,640.69/4,234,649.63 = 4,234,649.63/x
  3. Step 3: Cross multiply
    1,926,640.69x = 4,234,649.63 × 4,234,649.63
  4. Step 4: Simplify right side
    1,926,640.69x = 17,932,257,446,512.64
  5. Step 5: Solve for x
    x = 17,932,257,446,512.64/1,926,640.69
  6. Step 6: Final answer
    x = 9,307,525.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.