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Finding the Third Proportional to 1,509,889.36 and 2,286,812.25

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Solution

The third proportional to 1,509,889.36 and 2,286,812.25 is: 3,463,505.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509,889.36 : 2,286,812.25 = 2,286,812.25 : x
  2. Step 2: Convert to fraction form
    1,509,889.36/2,286,812.25 = 2,286,812.25/x
  3. Step 3: Cross multiply
    1,509,889.36x = 2,286,812.25 × 2,286,812.25
  4. Step 4: Simplify right side
    1,509,889.36x = 5,229,510,266,750.06
  5. Step 5: Solve for x
    x = 5,229,510,266,750.06/1,509,889.36
  6. Step 6: Final answer
    x = 3,463,505.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.