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Finding the Third Proportional to 442,930 and 967,053

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Solution

The third proportional to 442,930 and 967,053 is: 2,111,375.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,930 : 967,053 = 967,053 : x
  2. Step 2: Convert to fraction form
    442,930/967,053 = 967,053/x
  3. Step 3: Cross multiply
    442,930x = 967,053 × 967,053
  4. Step 4: Simplify right side
    442,930x = 935,191,504,809
  5. Step 5: Solve for x
    x = 935,191,504,809/442,930
  6. Step 6: Final answer
    x = 2,111,375.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.