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Finding the Third Proportional to 1,741,719.50 and 3,642,248

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Solution

The third proportional to 1,741,719.50 and 3,642,248 is: 7,616,594.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741,719.50 : 3,642,248 = 3,642,248 : x
  2. Step 2: Convert to fraction form
    1,741,719.50/3,642,248 = 3,642,248/x
  3. Step 3: Cross multiply
    1,741,719.50x = 3,642,248 × 3,642,248
  4. Step 4: Simplify right side
    1,741,719.50x = 13,265,970,493,504
  5. Step 5: Solve for x
    x = 13,265,970,493,504/1,741,719.50
  6. Step 6: Final answer
    x = 7,616,594.11

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.