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Finding the Third Proportional to 4,786,310 and 7,182,777

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Solution

The third proportional to 4,786,310 and 7,182,777 is: 10,779,135.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786,310 : 7,182,777 = 7,182,777 : x
  2. Step 2: Convert to fraction form
    4,786,310/7,182,777 = 7,182,777/x
  3. Step 3: Cross multiply
    4,786,310x = 7,182,777 × 7,182,777
  4. Step 4: Simplify right side
    4,786,310x = 51,592,285,431,729
  5. Step 5: Solve for x
    x = 51,592,285,431,729/4,786,310
  6. Step 6: Final answer
    x = 10,779,135.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.