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Finding the Third Proportional to 920,923 and 1,879,294

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Solution

The third proportional to 920,923 and 1,879,294 is: 3,835,006.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,923 : 1,879,294 = 1,879,294 : x
  2. Step 2: Convert to fraction form
    920,923/1,879,294 = 1,879,294/x
  3. Step 3: Cross multiply
    920,923x = 1,879,294 × 1,879,294
  4. Step 4: Simplify right side
    920,923x = 3,531,745,938,436
  5. Step 5: Solve for x
    x = 3,531,745,938,436/920,923
  6. Step 6: Final answer
    x = 3,835,006.77

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.