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Finding the Third Proportional to 473,553.84 and 1,038,789.56

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Solution

The third proportional to 473,553.84 and 1,038,789.56 is: 2,278,692.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,553.84 : 1,038,789.56 = 1,038,789.56 : x
  2. Step 2: Convert to fraction form
    473,553.84/1,038,789.56 = 1,038,789.56/x
  3. Step 3: Cross multiply
    473,553.84x = 1,038,789.56 × 1,038,789.56
  4. Step 4: Simplify right side
    473,553.84x = 1,079,083,755,158.94
  5. Step 5: Solve for x
    x = 1,079,083,755,158.94/473,553.84
  6. Step 6: Final answer
    x = 2,278,692.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.