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Finding the Third Proportional to 470,967 and 966,717

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Solution

The third proportional to 470,967 and 966,717 is: 1,984,304.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,967 : 966,717 = 966,717 : x
  2. Step 2: Convert to fraction form
    470,967/966,717 = 966,717/x
  3. Step 3: Cross multiply
    470,967x = 966,717 × 966,717
  4. Step 4: Simplify right side
    470,967x = 934,541,758,089
  5. Step 5: Solve for x
    x = 934,541,758,089/470,967
  6. Step 6: Final answer
    x = 1,984,304.12

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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.