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Finding the Third Proportional to 659,834 and 1,412,980

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Solution

The third proportional to 659,834 and 1,412,980 is: 3,025,779.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,834 : 1,412,980 = 1,412,980 : x
  2. Step 2: Convert to fraction form
    659,834/1,412,980 = 1,412,980/x
  3. Step 3: Cross multiply
    659,834x = 1,412,980 × 1,412,980
  4. Step 4: Simplify right side
    659,834x = 1,996,512,480,400
  5. Step 5: Solve for x
    x = 1,996,512,480,400/659,834
  6. Step 6: Final answer
    x = 3,025,779.94

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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.