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Finding the Third Proportional to 1,719,544.50 and 3,643,911

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Solution

The third proportional to 1,719,544.50 and 3,643,911 is: 7,721,863.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719,544.50 : 3,643,911 = 3,643,911 : x
  2. Step 2: Convert to fraction form
    1,719,544.50/3,643,911 = 3,643,911/x
  3. Step 3: Cross multiply
    1,719,544.50x = 3,643,911 × 3,643,911
  4. Step 4: Simplify right side
    1,719,544.50x = 13,278,087,375,921
  5. Step 5: Solve for x
    x = 13,278,087,375,921/1,719,544.50
  6. Step 6: Final answer
    x = 7,721,863.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.