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Finding the Third Proportional to 1,709,544 and 3,647,902.50

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Solution

The third proportional to 1,709,544 and 3,647,902.50 is: 7,784,059.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709,544 : 3,647,902.50 = 3,647,902.50 : x
  2. Step 2: Convert to fraction form
    1,709,544/3,647,902.50 = 3,647,902.50/x
  3. Step 3: Cross multiply
    1,709,544x = 3,647,902.50 × 3,647,902.50
  4. Step 4: Simplify right side
    1,709,544x = 13,307,192,649,506.25
  5. Step 5: Solve for x
    x = 13,307,192,649,506.25/1,709,544
  6. Step 6: Final answer
    x = 7,784,059.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.