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Finding the Third Proportional to 828,553.50 and 1,815,259.50

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Solution

The third proportional to 828,553.50 and 1,815,259.50 is: 3,977,011.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,553.50 : 1,815,259.50 = 1,815,259.50 : x
  2. Step 2: Convert to fraction form
    828,553.50/1,815,259.50 = 1,815,259.50/x
  3. Step 3: Cross multiply
    828,553.50x = 1,815,259.50 × 1,815,259.50
  4. Step 4: Simplify right side
    828,553.50x = 3,295,167,052,340.25
  5. Step 5: Solve for x
    x = 3,295,167,052,340.25/828,553.50
  6. Step 6: Final answer
    x = 3,977,011.81

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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.