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Finding the Third Proportional to 2,607,025 and 3,817,206

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Solution

The third proportional to 2,607,025 and 3,817,206 is: 5,589,153.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607,025 : 3,817,206 = 3,817,206 : x
  2. Step 2: Convert to fraction form
    2,607,025/3,817,206 = 3,817,206/x
  3. Step 3: Cross multiply
    2,607,025x = 3,817,206 × 3,817,206
  4. Step 4: Simplify right side
    2,607,025x = 14,571,061,646,436
  5. Step 5: Solve for x
    x = 14,571,061,646,436/2,607,025
  6. Step 6: Final answer
    x = 5,589,153.02

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.