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Finding the Third Proportional to 426,150.56 and 946,893.94

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Solution

The third proportional to 426,150.56 and 946,893.94 is: 2,103,970.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,150.56 : 946,893.94 = 946,893.94 : x
  2. Step 2: Convert to fraction form
    426,150.56/946,893.94 = 946,893.94/x
  3. Step 3: Cross multiply
    426,150.56x = 946,893.94 × 946,893.94
  4. Step 4: Simplify right side
    426,150.56x = 896,608,128,874.25
  5. Step 5: Solve for x
    x = 896,608,128,874.25/426,150.56
  6. Step 6: Final answer
    x = 2,103,970.30

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.