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Finding the Third Proportional to 1,405,425 and 3,125,238

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Solution

The third proportional to 1,405,425 and 3,125,238 is: 6,949,579.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405,425 : 3,125,238 = 3,125,238 : x
  2. Step 2: Convert to fraction form
    1,405,425/3,125,238 = 3,125,238/x
  3. Step 3: Cross multiply
    1,405,425x = 3,125,238 × 3,125,238
  4. Step 4: Simplify right side
    1,405,425x = 9,767,112,556,644
  5. Step 5: Solve for x
    x = 9,767,112,556,644/1,405,425
  6. Step 6: Final answer
    x = 6,949,579.35

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.