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Finding the Third Proportional to 3,782,430 and 5,674,464

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Solution

The third proportional to 3,782,430 and 5,674,464 is: 8,512,924.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782,430 : 5,674,464 = 5,674,464 : x
  2. Step 2: Convert to fraction form
    3,782,430/5,674,464 = 5,674,464/x
  3. Step 3: Cross multiply
    3,782,430x = 5,674,464 × 5,674,464
  4. Step 4: Simplify right side
    3,782,430x = 32,199,541,687,296
  5. Step 5: Solve for x
    x = 32,199,541,687,296/3,782,430
  6. Step 6: Final answer
    x = 8,512,924.68

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