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Finding the Third Proportional to 735,876.56 and 1,578,133.13

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Solution

The third proportional to 735,876.56 and 1,578,133.13 is: 3,384,404.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,876.56 : 1,578,133.13 = 1,578,133.13 : x
  2. Step 2: Convert to fraction form
    735,876.56/1,578,133.13 = 1,578,133.13/x
  3. Step 3: Cross multiply
    735,876.56x = 1,578,133.13 × 1,578,133.13
  4. Step 4: Simplify right side
    735,876.56x = 2,490,504,160,222.27
  5. Step 5: Solve for x
    x = 2,490,504,160,222.27/735,876.56
  6. Step 6: Final answer
    x = 3,384,404.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.