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Finding the Third Proportional to 3,242,009 and 5,085,575

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Solution

The third proportional to 3,242,009 and 5,085,575 is: 7,977,483.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242,009 : 5,085,575 = 5,085,575 : x
  2. Step 2: Convert to fraction form
    3,242,009/5,085,575 = 5,085,575/x
  3. Step 3: Cross multiply
    3,242,009x = 5,085,575 × 5,085,575
  4. Step 4: Simplify right side
    3,242,009x = 25,863,073,080,625
  5. Step 5: Solve for x
    x = 25,863,073,080,625/3,242,009
  6. Step 6: Final answer
    x = 7,977,483.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.