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Finding the Third Proportional to 470,769 and 966,339

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Solution

The third proportional to 470,769 and 966,339 is: 1,983,586.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,769 : 966,339 = 966,339 : x
  2. Step 2: Convert to fraction form
    470,769/966,339 = 966,339/x
  3. Step 3: Cross multiply
    470,769x = 966,339 × 966,339
  4. Step 4: Simplify right side
    470,769x = 933,811,062,921
  5. Step 5: Solve for x
    x = 933,811,062,921/470,769
  6. Step 6: Final answer
    x = 1,983,586.56

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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.