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Finding the Third Proportional to 902,340 and 1,829,520

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Solution

The third proportional to 902,340 and 1,829,520 is: 3,709,403.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,340 : 1,829,520 = 1,829,520 : x
  2. Step 2: Convert to fraction form
    902,340/1,829,520 = 1,829,520/x
  3. Step 3: Cross multiply
    902,340x = 1,829,520 × 1,829,520
  4. Step 4: Simplify right side
    902,340x = 3,347,143,430,400
  5. Step 5: Solve for x
    x = 3,347,143,430,400/902,340
  6. Step 6: Final answer
    x = 3,709,403.81

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.