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Finding the Third Proportional to 470,772 and 966,330

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Solution

The third proportional to 470,772 and 966,330 is: 1,983,536.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,772 : 966,330 = 966,330 : x
  2. Step 2: Convert to fraction form
    470,772/966,330 = 966,330/x
  3. Step 3: Cross multiply
    470,772x = 966,330 × 966,330
  4. Step 4: Simplify right side
    470,772x = 933,793,668,900
  5. Step 5: Solve for x
    x = 933,793,668,900/470,772
  6. Step 6: Final answer
    x = 1,983,536.98

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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.