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Finding the Third Proportional to 503,976.94 and 1,088,123.63

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Solution

The third proportional to 503,976.94 and 1,088,123.63 is: 2,349,339.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,976.94 : 1,088,123.63 = 1,088,123.63 : x
  2. Step 2: Convert to fraction form
    503,976.94/1,088,123.63 = 1,088,123.63/x
  3. Step 3: Cross multiply
    503,976.94x = 1,088,123.63 × 1,088,123.63
  4. Step 4: Simplify right side
    503,976.94x = 1,184,013,023,283.14
  5. Step 5: Solve for x
    x = 1,184,013,023,283.14/503,976.94
  6. Step 6: Final answer
    x = 2,349,339.69

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