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Finding the Third Proportional to 3,489,378 and 5,213,152

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Solution

The third proportional to 3,489,378 and 5,213,152 is: 7,788,480.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489,378 : 5,213,152 = 5,213,152 : x
  2. Step 2: Convert to fraction form
    3,489,378/5,213,152 = 5,213,152/x
  3. Step 3: Cross multiply
    3,489,378x = 5,213,152 × 5,213,152
  4. Step 4: Simplify right side
    3,489,378x = 27,176,953,775,104
  5. Step 5: Solve for x
    x = 27,176,953,775,104/3,489,378
  6. Step 6: Final answer
    x = 7,788,480.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.