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Finding the Third Proportional to 997,069 and 2,174,588

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Solution

The third proportional to 997,069 and 2,174,588 is: 4,742,733.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,069 : 2,174,588 = 2,174,588 : x
  2. Step 2: Convert to fraction form
    997,069/2,174,588 = 2,174,588/x
  3. Step 3: Cross multiply
    997,069x = 2,174,588 × 2,174,588
  4. Step 4: Simplify right side
    997,069x = 4,728,832,969,744
  5. Step 5: Solve for x
    x = 4,728,832,969,744/997,069
  6. Step 6: Final answer
    x = 4,742,733.92

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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.