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Finding the Third Proportional to 470,774 and 966,334

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Solution

The third proportional to 470,774 and 966,334 is: 1,983,544.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,774 : 966,334 = 966,334 : x
  2. Step 2: Convert to fraction form
    470,774/966,334 = 966,334/x
  3. Step 3: Cross multiply
    470,774x = 966,334 × 966,334
  4. Step 4: Simplify right side
    470,774x = 933,801,399,556
  5. Step 5: Solve for x
    x = 933,801,399,556/470,774
  6. Step 6: Final answer
    x = 1,983,544.97

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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.