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Finding the Third Proportional to 730,037.81 and 1,568,053.69

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Solution

The third proportional to 730,037.81 and 1,568,053.69 is: 3,368,034.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,037.81 : 1,568,053.69 = 1,568,053.69 : x
  2. Step 2: Convert to fraction form
    730,037.81/1,568,053.69 = 1,568,053.69/x
  3. Step 3: Cross multiply
    730,037.81x = 1,568,053.69 × 1,568,053.69
  4. Step 4: Simplify right side
    730,037.81x = 2,458,792,366,882.35
  5. Step 5: Solve for x
    x = 2,458,792,366,882.35/730,037.81
  6. Step 6: Final answer
    x = 3,368,034.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.