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Finding the Third Proportional to 997,077 and 2,174,604

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Solution

The third proportional to 997,077 and 2,174,604 is: 4,742,765.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,077 : 2,174,604 = 2,174,604 : x
  2. Step 2: Convert to fraction form
    997,077/2,174,604 = 2,174,604/x
  3. Step 3: Cross multiply
    997,077x = 2,174,604 × 2,174,604
  4. Step 4: Simplify right side
    997,077x = 4,728,902,556,816
  5. Step 5: Solve for x
    x = 4,728,902,556,816/997,077
  6. Step 6: Final answer
    x = 4,742,765.66

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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.