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Finding the Third Proportional to 2,670,197 and 4,137,233

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Solution

The third proportional to 2,670,197 and 4,137,233 is: 6,410,274.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670,197 : 4,137,233 = 4,137,233 : x
  2. Step 2: Convert to fraction form
    2,670,197/4,137,233 = 4,137,233/x
  3. Step 3: Cross multiply
    2,670,197x = 4,137,233 × 4,137,233
  4. Step 4: Simplify right side
    2,670,197x = 17,116,696,896,289
  5. Step 5: Solve for x
    x = 17,116,696,896,289/2,670,197
  6. Step 6: Final answer
    x = 6,410,274.93

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.