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Finding the Third Proportional to 852,930 and 1,855,324.50

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Solution

The third proportional to 852,930 and 1,855,324.50 is: 4,035,769.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,930 : 1,855,324.50 = 1,855,324.50 : x
  2. Step 2: Convert to fraction form
    852,930/1,855,324.50 = 1,855,324.50/x
  3. Step 3: Cross multiply
    852,930x = 1,855,324.50 × 1,855,324.50
  4. Step 4: Simplify right side
    852,930x = 3,442,229,000,300.25
  5. Step 5: Solve for x
    x = 3,442,229,000,300.25/852,930
  6. Step 6: Final answer
    x = 4,035,769.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.