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Finding the Third Proportional to 738,910.69 and 1,599,267.38

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Solution

The third proportional to 738,910.69 and 1,599,267.38 is: 3,461,387.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,910.69 : 1,599,267.38 = 1,599,267.38 : x
  2. Step 2: Convert to fraction form
    738,910.69/1,599,267.38 = 1,599,267.38/x
  3. Step 3: Cross multiply
    738,910.69x = 1,599,267.38 × 1,599,267.38
  4. Step 4: Simplify right side
    738,910.69x = 2,557,656,136,739.39
  5. Step 5: Solve for x
    x = 2,557,656,136,739.39/738,910.69
  6. Step 6: Final answer
    x = 3,461,387.39

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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.