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Finding the Third Proportional to 2,784,334.50 and 4,430,467.50

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Solution

The third proportional to 2,784,334.50 and 4,430,467.50 is: 7,049,814.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784,334.50 : 4,430,467.50 = 4,430,467.50 : x
  2. Step 2: Convert to fraction form
    2,784,334.50/4,430,467.50 = 4,430,467.50/x
  3. Step 3: Cross multiply
    2,784,334.50x = 4,430,467.50 × 4,430,467.50
  4. Step 4: Simplify right side
    2,784,334.50x = 19,629,042,268,556.25
  5. Step 5: Solve for x
    x = 19,629,042,268,556.25/2,784,334.50
  6. Step 6: Final answer
    x = 7,049,814.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.