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Finding the Third Proportional to 659,840 and 1,412,992

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Solution

The third proportional to 659,840 and 1,412,992 is: 3,025,803.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,840 : 1,412,992 = 1,412,992 : x
  2. Step 2: Convert to fraction form
    659,840/1,412,992 = 1,412,992/x
  3. Step 3: Cross multiply
    659,840x = 1,412,992 × 1,412,992
  4. Step 4: Simplify right side
    659,840x = 1,996,546,392,064
  5. Step 5: Solve for x
    x = 1,996,546,392,064/659,840
  6. Step 6: Final answer
    x = 3,025,803.82

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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.