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Finding the Third Proportional to 1,584,579 and 3,089,778

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Solution

The third proportional to 1,584,579 and 3,089,778 is: 6,024,772.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584,579 : 3,089,778 = 3,089,778 : x
  2. Step 2: Convert to fraction form
    1,584,579/3,089,778 = 3,089,778/x
  3. Step 3: Cross multiply
    1,584,579x = 3,089,778 × 3,089,778
  4. Step 4: Simplify right side
    1,584,579x = 9,546,728,089,284
  5. Step 5: Solve for x
    x = 9,546,728,089,284/1,584,579
  6. Step 6: Final answer
    x = 6,024,772.57

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.