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Finding the Third Proportional to 1,929,313.50 and 4,190,763

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Solution

The third proportional to 1,929,313.50 and 4,190,763 is: 9,102,976.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929,313.50 : 4,190,763 = 4,190,763 : x
  2. Step 2: Convert to fraction form
    1,929,313.50/4,190,763 = 4,190,763/x
  3. Step 3: Cross multiply
    1,929,313.50x = 4,190,763 × 4,190,763
  4. Step 4: Simplify right side
    1,929,313.50x = 17,562,494,522,169
  5. Step 5: Solve for x
    x = 17,562,494,522,169/1,929,313.50
  6. Step 6: Final answer
    x = 9,102,976.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.