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Finding the Third Proportional to 1,686,420 and 2,214,135

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Solution

The third proportional to 1,686,420 and 2,214,135 is: 2,906,982.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686,420 : 2,214,135 = 2,214,135 : x
  2. Step 2: Convert to fraction form
    1,686,420/2,214,135 = 2,214,135/x
  3. Step 3: Cross multiply
    1,686,420x = 2,214,135 × 2,214,135
  4. Step 4: Simplify right side
    1,686,420x = 4,902,393,798,225
  5. Step 5: Solve for x
    x = 4,902,393,798,225/1,686,420
  6. Step 6: Final answer
    x = 2,906,982.72

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.