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Finding the Third Proportional to 1,311,900 and 2,830,512

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Solution

The third proportional to 1,311,900 and 2,830,512 is: 6,107,018.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311,900 : 2,830,512 = 2,830,512 : x
  2. Step 2: Convert to fraction form
    1,311,900/2,830,512 = 2,830,512/x
  3. Step 3: Cross multiply
    1,311,900x = 2,830,512 × 2,830,512
  4. Step 4: Simplify right side
    1,311,900x = 8,011,798,182,144
  5. Step 5: Solve for x
    x = 8,011,798,182,144/1,311,900
  6. Step 6: Final answer
    x = 6,107,018.97

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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.