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Finding the Third Proportional to 811,197.28 and 1,174,969.55

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Solution

The third proportional to 811,197.28 and 1,174,969.55 is: 1,701,871.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,197.28 : 1,174,969.55 = 1,174,969.55 : x
  2. Step 2: Convert to fraction form
    811,197.28/1,174,969.55 = 1,174,969.55/x
  3. Step 3: Cross multiply
    811,197.28x = 1,174,969.55 × 1,174,969.55
  4. Step 4: Simplify right side
    811,197.28x = 1,380,553,436,083.64
  5. Step 5: Solve for x
    x = 1,380,553,436,083.64/811,197.28
  6. Step 6: Final answer
    x = 1,701,871.38

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.