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Finding the Third Proportional to 980,168.53 and 2,077,158.09

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Solution

The third proportional to 980,168.53 and 2,077,158.09 is: 4,401,881.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,168.53 : 2,077,158.09 = 2,077,158.09 : x
  2. Step 2: Convert to fraction form
    980,168.53/2,077,158.09 = 2,077,158.09/x
  3. Step 3: Cross multiply
    980,168.53x = 2,077,158.09 × 2,077,158.09
  4. Step 4: Simplify right side
    980,168.53x = 4,314,585,746,431.13
  5. Step 5: Solve for x
    x = 4,314,585,746,431.13/980,168.53
  6. Step 6: Final answer
    x = 4,401,881.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.