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Finding the Third Proportional to 1,163,257 and 2,432,462

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Solution

The third proportional to 1,163,257 and 2,432,462 is: 5,086,469.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163,257 : 2,432,462 = 2,432,462 : x
  2. Step 2: Convert to fraction form
    1,163,257/2,432,462 = 2,432,462/x
  3. Step 3: Cross multiply
    1,163,257x = 2,432,462 × 2,432,462
  4. Step 4: Simplify right side
    1,163,257x = 5,916,871,381,444
  5. Step 5: Solve for x
    x = 5,916,871,381,444/1,163,257
  6. Step 6: Final answer
    x = 5,086,469.61

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.