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Finding the Third Proportional to 433,890 and 934,368

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Solution

The third proportional to 433,890 and 934,368 is: 2,012,131.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,890 : 934,368 = 934,368 : x
  2. Step 2: Convert to fraction form
    433,890/934,368 = 934,368/x
  3. Step 3: Cross multiply
    433,890x = 934,368 × 934,368
  4. Step 4: Simplify right side
    433,890x = 873,043,559,424
  5. Step 5: Solve for x
    x = 873,043,559,424/433,890
  6. Step 6: Final answer
    x = 2,012,131.09

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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.