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Finding the Third Proportional to 1,760,104.69 and 3,655,099.69

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Solution

The third proportional to 1,760,104.69 and 3,655,099.69 is: 7,590,317.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760,104.69 : 3,655,099.69 = 3,655,099.69 : x
  2. Step 2: Convert to fraction form
    1,760,104.69/3,655,099.69 = 3,655,099.69/x
  3. Step 3: Cross multiply
    1,760,104.69x = 3,655,099.69 × 3,655,099.69
  4. Step 4: Simplify right side
    1,760,104.69x = 13,359,753,725,562.60
  5. Step 5: Solve for x
    x = 13,359,753,725,562.60/1,760,104.69
  6. Step 6: Final answer
    x = 7,590,317.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.