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Finding the Third Proportional to 665,743 and 1,464,083

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Solution

The third proportional to 665,743 and 1,464,083 is: 3,219,769.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,743 : 1,464,083 = 1,464,083 : x
  2. Step 2: Convert to fraction form
    665,743/1,464,083 = 1,464,083/x
  3. Step 3: Cross multiply
    665,743x = 1,464,083 × 1,464,083
  4. Step 4: Simplify right side
    665,743x = 2,143,539,030,889
  5. Step 5: Solve for x
    x = 2,143,539,030,889/665,743
  6. Step 6: Final answer
    x = 3,219,769.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.