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Finding the Third Proportional to 738,739.69 and 1,617,604.31

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Solution

The third proportional to 738,739.69 and 1,617,604.31 is: 3,542,037.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,739.69 : 1,617,604.31 = 1,617,604.31 : x
  2. Step 2: Convert to fraction form
    738,739.69/1,617,604.31 = 1,617,604.31/x
  3. Step 3: Cross multiply
    738,739.69x = 1,617,604.31 × 1,617,604.31
  4. Step 4: Simplify right side
    738,739.69x = 2,616,643,711,818.60
  5. Step 5: Solve for x
    x = 2,616,643,711,818.60/738,739.69
  6. Step 6: Final answer
    x = 3,542,037.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.