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Finding the Third Proportional to 4,251,595 and 6,456,125

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Solution

The third proportional to 4,251,595 and 6,456,125 is: 9,803,744.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,251,595 : 6,456,125 = 6,456,125 : x
  2. Step 2: Convert to fraction form
    4,251,595/6,456,125 = 6,456,125/x
  3. Step 3: Cross multiply
    4,251,595x = 6,456,125 × 6,456,125
  4. Step 4: Simplify right side
    4,251,595x = 41,681,550,015,625
  5. Step 5: Solve for x
    x = 41,681,550,015,625/4,251,595
  6. Step 6: Final answer
    x = 9,803,744.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.