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Finding the Third Proportional to 1,877,512.50 and 4,089,605.25

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Solution

The third proportional to 1,877,512.50 and 4,089,605.25 is: 8,907,994.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877,512.50 : 4,089,605.25 = 4,089,605.25 : x
  2. Step 2: Convert to fraction form
    1,877,512.50/4,089,605.25 = 4,089,605.25/x
  3. Step 3: Cross multiply
    1,877,512.50x = 4,089,605.25 × 4,089,605.25
  4. Step 4: Simplify right side
    1,877,512.50x = 16,724,871,100,827.56
  5. Step 5: Solve for x
    x = 16,724,871,100,827.56/1,877,512.50
  6. Step 6: Final answer
    x = 8,907,994.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.