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Finding the Third Proportional to 742,151 and 1,589,242

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Solution

The third proportional to 742,151 and 1,589,242 is: 3,403,202.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,151 : 1,589,242 = 1,589,242 : x
  2. Step 2: Convert to fraction form
    742,151/1,589,242 = 1,589,242/x
  3. Step 3: Cross multiply
    742,151x = 1,589,242 × 1,589,242
  4. Step 4: Simplify right side
    742,151x = 2,525,690,134,564
  5. Step 5: Solve for x
    x = 2,525,690,134,564/742,151
  6. Step 6: Final answer
    x = 3,403,202.49

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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.