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Finding the Third Proportional to 1,855,195.88 and 2,837,966.25

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Solution

The third proportional to 1,855,195.88 and 2,837,966.25 is: 4,341,348.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855,195.88 : 2,837,966.25 = 2,837,966.25 : x
  2. Step 2: Convert to fraction form
    1,855,195.88/2,837,966.25 = 2,837,966.25/x
  3. Step 3: Cross multiply
    1,855,195.88x = 2,837,966.25 × 2,837,966.25
  4. Step 4: Simplify right side
    1,855,195.88x = 8,054,052,436,139.06
  5. Step 5: Solve for x
    x = 8,054,052,436,139.06/1,855,195.88
  6. Step 6: Final answer
    x = 4,341,348.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.