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Finding the Third Proportional to 1,503,678 and 3,242,096

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Solution

The third proportional to 1,503,678 and 3,242,096 is: 6,990,317.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503,678 : 3,242,096 = 3,242,096 : x
  2. Step 2: Convert to fraction form
    1,503,678/3,242,096 = 3,242,096/x
  3. Step 3: Cross multiply
    1,503,678x = 3,242,096 × 3,242,096
  4. Step 4: Simplify right side
    1,503,678x = 10,511,186,473,216
  5. Step 5: Solve for x
    x = 10,511,186,473,216/1,503,678
  6. Step 6: Final answer
    x = 6,990,317.39

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.