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Finding the Third Proportional to 460,014.19 and 938,724.19

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Solution

The third proportional to 460,014.19 and 938,724.19 is: 1,915,599.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,014.19 : 938,724.19 = 938,724.19 : x
  2. Step 2: Convert to fraction form
    460,014.19/938,724.19 = 938,724.19/x
  3. Step 3: Cross multiply
    460,014.19x = 938,724.19 × 938,724.19
  4. Step 4: Simplify right side
    460,014.19x = 881,203,100,197.54
  5. Step 5: Solve for x
    x = 881,203,100,197.54/460,014.19
  6. Step 6: Final answer
    x = 1,915,599.83

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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.