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Finding the Third Proportional to 914,096 and 1,980,740

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Solution

The third proportional to 914,096 and 1,980,740 is: 4,292,033.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    914,096 : 1,980,740 = 1,980,740 : x
  2. Step 2: Convert to fraction form
    914,096/1,980,740 = 1,980,740/x
  3. Step 3: Cross multiply
    914,096x = 1,980,740 × 1,980,740
  4. Step 4: Simplify right side
    914,096x = 3,923,330,947,600
  5. Step 5: Solve for x
    x = 3,923,330,947,600/914,096
  6. Step 6: Final answer
    x = 4,292,033.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.