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Finding the Third Proportional to 1,350,019 and 1,971,720

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Solution

The third proportional to 1,350,019 and 1,971,720 is: 2,879,722.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350,019 : 1,971,720 = 1,971,720 : x
  2. Step 2: Convert to fraction form
    1,350,019/1,971,720 = 1,971,720/x
  3. Step 3: Cross multiply
    1,350,019x = 1,971,720 × 1,971,720
  4. Step 4: Simplify right side
    1,350,019x = 3,887,679,758,400
  5. Step 5: Solve for x
    x = 3,887,679,758,400/1,350,019
  6. Step 6: Final answer
    x = 2,879,722.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.