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Finding the Third Proportional to 1,670,162 and 3,724,142

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Solution

The third proportional to 1,670,162 and 3,724,142 is: 8,304,124.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670,162 : 3,724,142 = 3,724,142 : x
  2. Step 2: Convert to fraction form
    1,670,162/3,724,142 = 3,724,142/x
  3. Step 3: Cross multiply
    1,670,162x = 3,724,142 × 3,724,142
  4. Step 4: Simplify right side
    1,670,162x = 13,869,233,636,164
  5. Step 5: Solve for x
    x = 13,869,233,636,164/1,670,162
  6. Step 6: Final answer
    x = 8,304,124.77

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.