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Finding the Third Proportional to 437,440 and 953,936

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Solution

The third proportional to 437,440 and 953,936 is: 2,080,271.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,440 : 953,936 = 953,936 : x
  2. Step 2: Convert to fraction form
    437,440/953,936 = 953,936/x
  3. Step 3: Cross multiply
    437,440x = 953,936 × 953,936
  4. Step 4: Simplify right side
    437,440x = 909,993,892,096
  5. Step 5: Solve for x
    x = 909,993,892,096/437,440
  6. Step 6: Final answer
    x = 2,080,271.33

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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.