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Finding the Third Proportional to 788,595.75 and 1,123,844.63

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Solution

The third proportional to 788,595.75 and 1,123,844.63 is: 1,601,614.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,595.75 : 1,123,844.63 = 1,123,844.63 : x
  2. Step 2: Convert to fraction form
    788,595.75/1,123,844.63 = 1,123,844.63/x
  3. Step 3: Cross multiply
    788,595.75x = 1,123,844.63 × 1,123,844.63
  4. Step 4: Simplify right side
    788,595.75x = 1,263,026,741,141.39
  5. Step 5: Solve for x
    x = 1,263,026,741,141.39/788,595.75
  6. Step 6: Final answer
    x = 1,601,614.95

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.