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Finding the Third Proportional to 442,942 and 967,076

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Solution

The third proportional to 442,942 and 967,076 is: 2,111,418.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,942 : 967,076 = 967,076 : x
  2. Step 2: Convert to fraction form
    442,942/967,076 = 967,076/x
  3. Step 3: Cross multiply
    442,942x = 967,076 × 967,076
  4. Step 4: Simplify right side
    442,942x = 935,235,989,776
  5. Step 5: Solve for x
    x = 935,235,989,776/442,942
  6. Step 6: Final answer
    x = 2,111,418.63

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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.