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Finding the Third Proportional to 470,771 and 966,343

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Solution

The third proportional to 470,771 and 966,343 is: 1,983,594.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,771 : 966,343 = 966,343 : x
  2. Step 2: Convert to fraction form
    470,771/966,343 = 966,343/x
  3. Step 3: Cross multiply
    470,771x = 966,343 × 966,343
  4. Step 4: Simplify right side
    470,771x = 933,818,793,649
  5. Step 5: Solve for x
    x = 933,818,793,649/470,771
  6. Step 6: Final answer
    x = 1,983,594.56

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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.