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Finding the Third Proportional to 920,214 and 1,886,217

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Solution

The third proportional to 920,214 and 1,886,217 is: 3,866,290.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,214 : 1,886,217 = 1,886,217 : x
  2. Step 2: Convert to fraction form
    920,214/1,886,217 = 1,886,217/x
  3. Step 3: Cross multiply
    920,214x = 1,886,217 × 1,886,217
  4. Step 4: Simplify right side
    920,214x = 3,557,814,571,089
  5. Step 5: Solve for x
    x = 3,557,814,571,089/920,214
  6. Step 6: Final answer
    x = 3,866,290.42

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.