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Finding the Third Proportional to 1,398,639 and 2,089,329

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Solution

The third proportional to 1,398,639 and 2,089,329 is: 3,121,102.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398,639 : 2,089,329 = 2,089,329 : x
  2. Step 2: Convert to fraction form
    1,398,639/2,089,329 = 2,089,329/x
  3. Step 3: Cross multiply
    1,398,639x = 2,089,329 × 2,089,329
  4. Step 4: Simplify right side
    1,398,639x = 4,365,295,670,241
  5. Step 5: Solve for x
    x = 4,365,295,670,241/1,398,639
  6. Step 6: Final answer
    x = 3,121,102.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.