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Finding the Third Proportional to 902,470 and 1,353,905

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Solution

The third proportional to 902,470 and 1,353,905 is: 2,031,157.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,470 : 1,353,905 = 1,353,905 : x
  2. Step 2: Convert to fraction form
    902,470/1,353,905 = 1,353,905/x
  3. Step 3: Cross multiply
    902,470x = 1,353,905 × 1,353,905
  4. Step 4: Simplify right side
    902,470x = 1,833,058,749,025
  5. Step 5: Solve for x
    x = 1,833,058,749,025/902,470
  6. Step 6: Final answer
    x = 2,031,157.54

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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.