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Finding the Third Proportional to 902,488 and 1,353,912

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Solution

The third proportional to 902,488 and 1,353,912 is: 2,031,138.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,488 : 1,353,912 = 1,353,912 : x
  2. Step 2: Convert to fraction form
    902,488/1,353,912 = 1,353,912/x
  3. Step 3: Cross multiply
    902,488x = 1,353,912 × 1,353,912
  4. Step 4: Simplify right side
    902,488x = 1,833,077,703,744
  5. Step 5: Solve for x
    x = 1,833,077,703,744/902,488
  6. Step 6: Final answer
    x = 2,031,138.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.