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Finding the Third Proportional to 433,868.06 and 934,410.94

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Solution

The third proportional to 433,868.06 and 934,410.94 is: 2,012,417.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,868.06 : 934,410.94 = 934,410.94 : x
  2. Step 2: Convert to fraction form
    433,868.06/934,410.94 = 934,410.94/x
  3. Step 3: Cross multiply
    433,868.06x = 934,410.94 × 934,410.94
  4. Step 4: Simplify right side
    433,868.06x = 873,123,800,119.63
  5. Step 5: Solve for x
    x = 873,123,800,119.63/433,868.06
  6. Step 6: Final answer
    x = 2,012,417.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.