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Finding the Third Proportional to 963,927 and 2,093,789

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Solution

The third proportional to 963,927 and 2,093,789 is: 4,548,012.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,927 : 2,093,789 = 2,093,789 : x
  2. Step 2: Convert to fraction form
    963,927/2,093,789 = 2,093,789/x
  3. Step 3: Cross multiply
    963,927x = 2,093,789 × 2,093,789
  4. Step 4: Simplify right side
    963,927x = 4,383,952,376,521
  5. Step 5: Solve for x
    x = 4,383,952,376,521/963,927
  6. Step 6: Final answer
    x = 4,548,012.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.