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Finding the Third Proportional to 969,327 and 1,985,674.50

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Solution

The third proportional to 969,327 and 1,985,674.50 is: 4,067,670.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,327 : 1,985,674.50 = 1,985,674.50 : x
  2. Step 2: Convert to fraction form
    969,327/1,985,674.50 = 1,985,674.50/x
  3. Step 3: Cross multiply
    969,327x = 1,985,674.50 × 1,985,674.50
  4. Step 4: Simplify right side
    969,327x = 3,942,903,219,950.25
  5. Step 5: Solve for x
    x = 3,942,903,219,950.25/969,327
  6. Step 6: Final answer
    x = 4,067,670.89

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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.