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Finding the Third Proportional to 665,742 and 1,464,081

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Solution

The third proportional to 665,742 and 1,464,081 is: 3,219,765.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,742 : 1,464,081 = 1,464,081 : x
  2. Step 2: Convert to fraction form
    665,742/1,464,081 = 1,464,081/x
  3. Step 3: Cross multiply
    665,742x = 1,464,081 × 1,464,081
  4. Step 4: Simplify right side
    665,742x = 2,143,533,174,561
  5. Step 5: Solve for x
    x = 2,143,533,174,561/665,742
  6. Step 6: Final answer
    x = 3,219,765.58

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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.