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Finding the Third Proportional to 897,774 and 1,969,968

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Solution

The third proportional to 897,774 and 1,969,968 is: 4,322,662.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,774 : 1,969,968 = 1,969,968 : x
  2. Step 2: Convert to fraction form
    897,774/1,969,968 = 1,969,968/x
  3. Step 3: Cross multiply
    897,774x = 1,969,968 × 1,969,968
  4. Step 4: Simplify right side
    897,774x = 3,880,773,921,024
  5. Step 5: Solve for x
    x = 3,880,773,921,024/897,774
  6. Step 6: Final answer
    x = 4,322,662.41

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.