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Finding the Third Proportional to 470,745 and 966,296

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Solution

The third proportional to 470,745 and 966,296 is: 1,983,511.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,745 : 966,296 = 966,296 : x
  2. Step 2: Convert to fraction form
    470,745/966,296 = 966,296/x
  3. Step 3: Cross multiply
    470,745x = 966,296 × 966,296
  4. Step 4: Simplify right side
    470,745x = 933,727,959,616
  5. Step 5: Solve for x
    x = 933,727,959,616/470,745
  6. Step 6: Final answer
    x = 1,983,511.16

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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.