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Finding the Third Proportional to 727,615.69 and 1,530,639.94

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Solution

The third proportional to 727,615.69 and 1,530,639.94 is: 3,219,912.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,615.69 : 1,530,639.94 = 1,530,639.94 : x
  2. Step 2: Convert to fraction form
    727,615.69/1,530,639.94 = 1,530,639.94/x
  3. Step 3: Cross multiply
    727,615.69x = 1,530,639.94 × 1,530,639.94
  4. Step 4: Simplify right side
    727,615.69x = 2,342,858,618,270.00
  5. Step 5: Solve for x
    x = 2,342,858,618,270.00/727,615.69
  6. Step 6: Final answer
    x = 3,219,912.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.