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Finding the Third Proportional to 426,004.50 and 911,851.50

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Solution

The third proportional to 426,004.50 and 911,851.50 is: 1,951,794.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,004.50 : 911,851.50 = 911,851.50 : x
  2. Step 2: Convert to fraction form
    426,004.50/911,851.50 = 911,851.50/x
  3. Step 3: Cross multiply
    426,004.50x = 911,851.50 × 911,851.50
  4. Step 4: Simplify right side
    426,004.50x = 831,473,158,052.25
  5. Step 5: Solve for x
    x = 831,473,158,052.25/426,004.50
  6. Step 6: Final answer
    x = 1,951,794.31

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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.