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Finding the Third Proportional to 963,921.56 and 2,078,478.56

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Solution

The third proportional to 963,921.56 and 2,078,478.56 is: 4,481,768.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,921.56 : 2,078,478.56 = 2,078,478.56 : x
  2. Step 2: Convert to fraction form
    963,921.56/2,078,478.56 = 2,078,478.56/x
  3. Step 3: Cross multiply
    963,921.56x = 2,078,478.56 × 2,078,478.56
  4. Step 4: Simplify right side
    963,921.56x = 4,320,073,134,772.07
  5. Step 5: Solve for x
    x = 4,320,073,134,772.07/963,921.56
  6. Step 6: Final answer
    x = 4,481,768.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.