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Finding the Third Proportional to 426,038 and 911,914.75

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Solution

The third proportional to 426,038 and 911,914.75 is: 1,951,911.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,038 : 911,914.75 = 911,914.75 : x
  2. Step 2: Convert to fraction form
    426,038/911,914.75 = 911,914.75/x
  3. Step 3: Cross multiply
    426,038x = 911,914.75 × 911,914.75
  4. Step 4: Simplify right side
    426,038x = 831,588,511,267.56
  5. Step 5: Solve for x
    x = 831,588,511,267.56/426,038
  6. Step 6: Final answer
    x = 1,951,911.59

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Why These Related Problems?

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