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Finding the Third Proportional to 457,026 and 1,002,664.50

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Solution

The third proportional to 457,026 and 1,002,664.50 is: 2,199,735.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,026 : 1,002,664.50 = 1,002,664.50 : x
  2. Step 2: Convert to fraction form
    457,026/1,002,664.50 = 1,002,664.50/x
  3. Step 3: Cross multiply
    457,026x = 1,002,664.50 × 1,002,664.50
  4. Step 4: Simplify right side
    457,026x = 1,005,336,099,560.25
  5. Step 5: Solve for x
    x = 1,005,336,099,560.25/457,026
  6. Step 6: Final answer
    x = 2,199,735.03

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.