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Finding the Third Proportional to 1,420,470 and 2,132,349.75

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Solution

The third proportional to 1,420,470 and 2,132,349.75 is: 3,200,993.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420,470 : 2,132,349.75 = 2,132,349.75 : x
  2. Step 2: Convert to fraction form
    1,420,470/2,132,349.75 = 2,132,349.75/x
  3. Step 3: Cross multiply
    1,420,470x = 2,132,349.75 × 2,132,349.75
  4. Step 4: Simplify right side
    1,420,470x = 4,546,915,456,325.06
  5. Step 5: Solve for x
    x = 4,546,915,456,325.06/1,420,470
  6. Step 6: Final answer
    x = 3,200,993.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.