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Finding the Third Proportional to 1,959,414 and 2,968,656

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Solution

The third proportional to 1,959,414 and 2,968,656 is: 4,497,731.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959,414 : 2,968,656 = 2,968,656 : x
  2. Step 2: Convert to fraction form
    1,959,414/2,968,656 = 2,968,656/x
  3. Step 3: Cross multiply
    1,959,414x = 2,968,656 × 2,968,656
  4. Step 4: Simplify right side
    1,959,414x = 8,812,918,446,336
  5. Step 5: Solve for x
    x = 8,812,918,446,336/1,959,414
  6. Step 6: Final answer
    x = 4,497,731.69

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.