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Finding the Third Proportional to 997,021 and 2,174,496

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Solution

The third proportional to 997,021 and 2,174,496 is: 4,742,560.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,021 : 2,174,496 = 2,174,496 : x
  2. Step 2: Convert to fraction form
    997,021/2,174,496 = 2,174,496/x
  3. Step 3: Cross multiply
    997,021x = 2,174,496 × 2,174,496
  4. Step 4: Simplify right side
    997,021x = 4,728,432,854,016
  5. Step 5: Solve for x
    x = 4,728,432,854,016/997,021
  6. Step 6: Final answer
    x = 4,742,560.94

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.