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Finding the Third Proportional to 442,938 and 967,068

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Solution

The third proportional to 442,938 and 967,068 is: 2,111,402.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,938 : 967,068 = 967,068 : x
  2. Step 2: Convert to fraction form
    442,938/967,068 = 967,068/x
  3. Step 3: Cross multiply
    442,938x = 967,068 × 967,068
  4. Step 4: Simplify right side
    442,938x = 935,220,516,624
  5. Step 5: Solve for x
    x = 935,220,516,624/442,938
  6. Step 6: Final answer
    x = 2,111,402.76

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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.