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Finding the Third Proportional to 935,576 and 1,968,954

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Solution

The third proportional to 935,576 and 1,968,954 is: 4,143,735.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,576 : 1,968,954 = 1,968,954 : x
  2. Step 2: Convert to fraction form
    935,576/1,968,954 = 1,968,954/x
  3. Step 3: Cross multiply
    935,576x = 1,968,954 × 1,968,954
  4. Step 4: Simplify right side
    935,576x = 3,876,779,854,116
  5. Step 5: Solve for x
    x = 3,876,779,854,116/935,576
  6. Step 6: Final answer
    x = 4,143,735.90

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.