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Finding the Third Proportional to 2,128,280 and 3,214,512

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Solution

The third proportional to 2,128,280 and 3,214,512 is: 4,855,135.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128,280 : 3,214,512 = 3,214,512 : x
  2. Step 2: Convert to fraction form
    2,128,280/3,214,512 = 3,214,512/x
  3. Step 3: Cross multiply
    2,128,280x = 3,214,512 × 3,214,512
  4. Step 4: Simplify right side
    2,128,280x = 10,333,087,398,144
  5. Step 5: Solve for x
    x = 10,333,087,398,144/2,128,280
  6. Step 6: Final answer
    x = 4,855,135.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.