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Finding the Third Proportional to 437,602 and 967,058

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Solution

The third proportional to 437,602 and 967,058 is: 2,137,104.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,602 : 967,058 = 967,058 : x
  2. Step 2: Convert to fraction form
    437,602/967,058 = 967,058/x
  3. Step 3: Cross multiply
    437,602x = 967,058 × 967,058
  4. Step 4: Simplify right side
    437,602x = 935,201,175,364
  5. Step 5: Solve for x
    x = 935,201,175,364/437,602
  6. Step 6: Final answer
    x = 2,137,104.44

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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.