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Finding the Third Proportional to 1,441,293 and 3,336,201

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Solution

The third proportional to 1,441,293 and 3,336,201 is: 7,722,397.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441,293 : 3,336,201 = 3,336,201 : x
  2. Step 2: Convert to fraction form
    1,441,293/3,336,201 = 3,336,201/x
  3. Step 3: Cross multiply
    1,441,293x = 3,336,201 × 3,336,201
  4. Step 4: Simplify right side
    1,441,293x = 11,130,237,112,401
  5. Step 5: Solve for x
    x = 11,130,237,112,401/1,441,293
  6. Step 6: Final answer
    x = 7,722,397.26

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.