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Finding the Third Proportional to 1,958,142 and 2,993,496

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Solution

The third proportional to 1,958,142 and 2,993,496 is: 4,576,286.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958,142 : 2,993,496 = 2,993,496 : x
  2. Step 2: Convert to fraction form
    1,958,142/2,993,496 = 2,993,496/x
  3. Step 3: Cross multiply
    1,958,142x = 2,993,496 × 2,993,496
  4. Step 4: Simplify right side
    1,958,142x = 8,961,018,302,016
  5. Step 5: Solve for x
    x = 8,961,018,302,016/1,958,142
  6. Step 6: Final answer
    x = 4,576,286.25

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.