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Finding the Third Proportional to 742,311 and 1,589,598

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Solution

The third proportional to 742,311 and 1,589,598 is: 3,403,993.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,311 : 1,589,598 = 1,589,598 : x
  2. Step 2: Convert to fraction form
    742,311/1,589,598 = 1,589,598/x
  3. Step 3: Cross multiply
    742,311x = 1,589,598 × 1,589,598
  4. Step 4: Simplify right side
    742,311x = 2,526,821,801,604
  5. Step 5: Solve for x
    x = 2,526,821,801,604/742,311
  6. Step 6: Final answer
    x = 3,403,993.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.