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Finding the Third Proportional to 892,482 and 1,359,652

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Solution

The third proportional to 892,482 and 1,359,652 is: 2,071,362.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,482 : 1,359,652 = 1,359,652 : x
  2. Step 2: Convert to fraction form
    892,482/1,359,652 = 1,359,652/x
  3. Step 3: Cross multiply
    892,482x = 1,359,652 × 1,359,652
  4. Step 4: Simplify right side
    892,482x = 1,848,653,561,104
  5. Step 5: Solve for x
    x = 1,848,653,561,104/892,482
  6. Step 6: Final answer
    x = 2,071,362.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.