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Finding the Third Proportional to 929,286 and 1,908,596.25

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Solution

The third proportional to 929,286 and 1,908,596.25 is: 3,919,933.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,286 : 1,908,596.25 = 1,908,596.25 : x
  2. Step 2: Convert to fraction form
    929,286/1,908,596.25 = 1,908,596.25/x
  3. Step 3: Cross multiply
    929,286x = 1,908,596.25 × 1,908,596.25
  4. Step 4: Simplify right side
    929,286x = 3,642,739,645,514.06
  5. Step 5: Solve for x
    x = 3,642,739,645,514.06/929,286
  6. Step 6: Final answer
    x = 3,919,933.85

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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.