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Finding the Third Proportional to 1,533,588.75 and 3,225,825.38

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Solution

The third proportional to 1,533,588.75 and 3,225,825.38 is: 6,785,358.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533,588.75 : 3,225,825.38 = 3,225,825.38 : x
  2. Step 2: Convert to fraction form
    1,533,588.75/3,225,825.38 = 3,225,825.38/x
  3. Step 3: Cross multiply
    1,533,588.75x = 3,225,825.38 × 3,225,825.38
  4. Step 4: Simplify right side
    1,533,588.75x = 10,405,949,349,993.89
  5. Step 5: Solve for x
    x = 10,405,949,349,993.89/1,533,588.75
  6. Step 6: Final answer
    x = 6,785,358.43

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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.