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Finding the Third Proportional to 426,111.89 and 911,324.04

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Solution

The third proportional to 426,111.89 and 911,324.04 is: 1,949,045.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,111.89 : 911,324.04 = 911,324.04 : x
  2. Step 2: Convert to fraction form
    426,111.89/911,324.04 = 911,324.04/x
  3. Step 3: Cross multiply
    426,111.89x = 911,324.04 × 911,324.04
  4. Step 4: Simplify right side
    426,111.89x = 830,511,504,173.19
  5. Step 5: Solve for x
    x = 830,511,504,173.19/426,111.89
  6. Step 6: Final answer
    x = 1,949,045.60

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.