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Finding the Third Proportional to 664,912 and 1,425,080

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Solution

The third proportional to 664,912 and 1,425,080 is: 3,054,318.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,912 : 1,425,080 = 1,425,080 : x
  2. Step 2: Convert to fraction form
    664,912/1,425,080 = 1,425,080/x
  3. Step 3: Cross multiply
    664,912x = 1,425,080 × 1,425,080
  4. Step 4: Simplify right side
    664,912x = 2,030,853,006,400
  5. Step 5: Solve for x
    x = 2,030,853,006,400/664,912
  6. Step 6: Final answer
    x = 3,054,318.48

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.