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Finding the Third Proportional to 1,619,584 and 3,554,096

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Solution

The third proportional to 1,619,584 and 3,554,096 is: 7,799,285.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619,584 : 3,554,096 = 3,554,096 : x
  2. Step 2: Convert to fraction form
    1,619,584/3,554,096 = 3,554,096/x
  3. Step 3: Cross multiply
    1,619,584x = 3,554,096 × 3,554,096
  4. Step 4: Simplify right side
    1,619,584x = 12,631,598,377,216
  5. Step 5: Solve for x
    x = 12,631,598,377,216/1,619,584
  6. Step 6: Final answer
    x = 7,799,285.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.