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Finding the Third Proportional to 1,293,181.75 and 3,048,390.21

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Solution

The third proportional to 1,293,181.75 and 3,048,390.21 is: 7,185,906.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293,181.75 : 3,048,390.21 = 3,048,390.21 : x
  2. Step 2: Convert to fraction form
    1,293,181.75/3,048,390.21 = 3,048,390.21/x
  3. Step 3: Cross multiply
    1,293,181.75x = 3,048,390.21 × 3,048,390.21
  4. Step 4: Simplify right side
    1,293,181.75x = 9,292,682,864,742.51
  5. Step 5: Solve for x
    x = 9,292,682,864,742.51/1,293,181.75
  6. Step 6: Final answer
    x = 7,185,906.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.