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Finding the Third Proportional to 1,509,495.75 and 3,284,712

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Solution

The third proportional to 1,509,495.75 and 3,284,712 is: 7,147,640.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509,495.75 : 3,284,712 = 3,284,712 : x
  2. Step 2: Convert to fraction form
    1,509,495.75/3,284,712 = 3,284,712/x
  3. Step 3: Cross multiply
    1,509,495.75x = 3,284,712 × 3,284,712
  4. Step 4: Simplify right side
    1,509,495.75x = 10,789,332,922,944
  5. Step 5: Solve for x
    x = 10,789,332,922,944/1,509,495.75
  6. Step 6: Final answer
    x = 7,147,640.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.