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Finding the Third Proportional to 853,385.63 and 1,943,532.56

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Solution

The third proportional to 853,385.63 and 1,943,532.56 is: 4,426,274.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,385.63 : 1,943,532.56 = 1,943,532.56 : x
  2. Step 2: Convert to fraction form
    853,385.63/1,943,532.56 = 1,943,532.56/x
  3. Step 3: Cross multiply
    853,385.63x = 1,943,532.56 × 1,943,532.56
  4. Step 4: Simplify right side
    853,385.63x = 3,777,318,821,497.82
  5. Step 5: Solve for x
    x = 3,777,318,821,497.82/853,385.63
  6. Step 6: Final answer
    x = 4,426,274.25

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.