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Finding the Third Proportional to 2,089,442.14 and 3,124,556.65

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Solution

The third proportional to 2,089,442.14 and 3,124,556.65 is: 4,672,469.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089,442.14 : 3,124,556.65 = 3,124,556.65 : x
  2. Step 2: Convert to fraction form
    2,089,442.14/3,124,556.65 = 3,124,556.65/x
  3. Step 3: Cross multiply
    2,089,442.14x = 3,124,556.65 × 3,124,556.65
  4. Step 4: Simplify right side
    2,089,442.14x = 9,762,854,249,294.98
  5. Step 5: Solve for x
    x = 9,762,854,249,294.98/2,089,442.14
  6. Step 6: Final answer
    x = 4,672,469.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.