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Finding the Third Proportional to 1,161,270 and 2,509,380

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Solution

The third proportional to 1,161,270 and 2,509,380 is: 5,422,501.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161,270 : 2,509,380 = 2,509,380 : x
  2. Step 2: Convert to fraction form
    1,161,270/2,509,380 = 2,509,380/x
  3. Step 3: Cross multiply
    1,161,270x = 2,509,380 × 2,509,380
  4. Step 4: Simplify right side
    1,161,270x = 6,296,987,984,400
  5. Step 5: Solve for x
    x = 6,296,987,984,400/1,161,270
  6. Step 6: Final answer
    x = 5,422,501.21

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.