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Finding the Third Proportional to 675,675 and 1,468,962

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Solution

The third proportional to 675,675 and 1,468,962 is: 3,193,620.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,675 : 1,468,962 = 1,468,962 : x
  2. Step 2: Convert to fraction form
    675,675/1,468,962 = 1,468,962/x
  3. Step 3: Cross multiply
    675,675x = 1,468,962 × 1,468,962
  4. Step 4: Simplify right side
    675,675x = 2,157,849,357,444
  5. Step 5: Solve for x
    x = 2,157,849,357,444/675,675
  6. Step 6: Final answer
    x = 3,193,620.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.