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Finding the Third Proportional to 834,019 and 1,820,968

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Solution

The third proportional to 834,019 and 1,820,968 is: 3,975,838.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,019 : 1,820,968 = 1,820,968 : x
  2. Step 2: Convert to fraction form
    834,019/1,820,968 = 1,820,968/x
  3. Step 3: Cross multiply
    834,019x = 1,820,968 × 1,820,968
  4. Step 4: Simplify right side
    834,019x = 3,315,924,457,024
  5. Step 5: Solve for x
    x = 3,315,924,457,024/834,019
  6. Step 6: Final answer
    x = 3,975,838.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.