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Finding the Third Proportional to 1,770,178.50 and 3,798,426

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Solution

The third proportional to 1,770,178.50 and 3,798,426 is: 8,150,613.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770,178.50 : 3,798,426 = 3,798,426 : x
  2. Step 2: Convert to fraction form
    1,770,178.50/3,798,426 = 3,798,426/x
  3. Step 3: Cross multiply
    1,770,178.50x = 3,798,426 × 3,798,426
  4. Step 4: Simplify right side
    1,770,178.50x = 14,428,040,077,476
  5. Step 5: Solve for x
    x = 14,428,040,077,476/1,770,178.50
  6. Step 6: Final answer
    x = 8,150,613.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.