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Finding the Third Proportional to 619,212 and 1,264,656

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Solution

The third proportional to 619,212 and 1,264,656 is: 2,582,887.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,212 : 1,264,656 = 1,264,656 : x
  2. Step 2: Convert to fraction form
    619,212/1,264,656 = 1,264,656/x
  3. Step 3: Cross multiply
    619,212x = 1,264,656 × 1,264,656
  4. Step 4: Simplify right side
    619,212x = 1,599,354,798,336
  5. Step 5: Solve for x
    x = 1,599,354,798,336/619,212
  6. Step 6: Final answer
    x = 2,582,887.28

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.