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Finding the Third Proportional to 2,577,424.50 and 5,089,785.75

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Solution

The third proportional to 2,577,424.50 and 5,089,785.75 is: 10,051,087.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577,424.50 : 5,089,785.75 = 5,089,785.75 : x
  2. Step 2: Convert to fraction form
    2,577,424.50/5,089,785.75 = 5,089,785.75/x
  3. Step 3: Cross multiply
    2,577,424.50x = 5,089,785.75 × 5,089,785.75
  4. Step 4: Simplify right side
    2,577,424.50x = 25,905,918,980,903.06
  5. Step 5: Solve for x
    x = 25,905,918,980,903.06/2,577,424.50
  6. Step 6: Final answer
    x = 10,051,087.43

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.