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Finding the Third Proportional to 465,075 and 949,887

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Solution

The third proportional to 465,075 and 949,887 is: 1,940,085.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,075 : 949,887 = 949,887 : x
  2. Step 2: Convert to fraction form
    465,075/949,887 = 949,887/x
  3. Step 3: Cross multiply
    465,075x = 949,887 × 949,887
  4. Step 4: Simplify right side
    465,075x = 902,285,312,769
  5. Step 5: Solve for x
    x = 902,285,312,769/465,075
  6. Step 6: Final answer
    x = 1,940,085.61

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.