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Finding the Third Proportional to 437,606 and 967,066

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Solution

The third proportional to 437,606 and 967,066 is: 2,137,120.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,606 : 967,066 = 967,066 : x
  2. Step 2: Convert to fraction form
    437,606/967,066 = 967,066/x
  3. Step 3: Cross multiply
    437,606x = 967,066 × 967,066
  4. Step 4: Simplify right side
    437,606x = 935,216,648,356
  5. Step 5: Solve for x
    x = 935,216,648,356/437,606
  6. Step 6: Final answer
    x = 2,137,120.26

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.