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Finding the Third Proportional to 737,019 and 1,598,454

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Solution

The third proportional to 737,019 and 1,598,454 is: 3,466,742.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,019 : 1,598,454 = 1,598,454 : x
  2. Step 2: Convert to fraction form
    737,019/1,598,454 = 1,598,454/x
  3. Step 3: Cross multiply
    737,019x = 1,598,454 × 1,598,454
  4. Step 4: Simplify right side
    737,019x = 2,555,055,190,116
  5. Step 5: Solve for x
    x = 2,555,055,190,116/737,019
  6. Step 6: Final answer
    x = 3,466,742.64

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Why These Related Problems?

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