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Finding the Third Proportional to 437,580 and 967,014

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Solution

The third proportional to 437,580 and 967,014 is: 2,137,017.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,580 : 967,014 = 967,014 : x
  2. Step 2: Convert to fraction form
    437,580/967,014 = 967,014/x
  3. Step 3: Cross multiply
    437,580x = 967,014 × 967,014
  4. Step 4: Simplify right side
    437,580x = 935,116,076,196
  5. Step 5: Solve for x
    x = 935,116,076,196/437,580
  6. Step 6: Final answer
    x = 2,137,017.41

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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.