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Finding the Third Proportional to 1,257,096 and 2,713,392

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Solution

The third proportional to 1,257,096 and 2,713,392 is: 5,856,749.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257,096 : 2,713,392 = 2,713,392 : x
  2. Step 2: Convert to fraction form
    1,257,096/2,713,392 = 2,713,392/x
  3. Step 3: Cross multiply
    1,257,096x = 2,713,392 × 2,713,392
  4. Step 4: Simplify right side
    1,257,096x = 7,362,496,145,664
  5. Step 5: Solve for x
    x = 7,362,496,145,664/1,257,096
  6. Step 6: Final answer
    x = 5,856,749.32

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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.