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Finding the Third Proportional to 1,973,125 and 4,250,809

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Solution

The third proportional to 1,973,125 and 4,250,809 is: 9,157,745.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973,125 : 4,250,809 = 4,250,809 : x
  2. Step 2: Convert to fraction form
    1,973,125/4,250,809 = 4,250,809/x
  3. Step 3: Cross multiply
    1,973,125x = 4,250,809 × 4,250,809
  4. Step 4: Simplify right side
    1,973,125x = 18,069,377,154,481
  5. Step 5: Solve for x
    x = 18,069,377,154,481/1,973,125
  6. Step 6: Final answer
    x = 9,157,745.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.