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Finding the Third Proportional to 687,763.41 and 1,511,666.30

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Solution

The third proportional to 687,763.41 and 1,511,666.30 is: 3,322,559.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,763.41 : 1,511,666.30 = 1,511,666.30 : x
  2. Step 2: Convert to fraction form
    687,763.41/1,511,666.30 = 1,511,666.30/x
  3. Step 3: Cross multiply
    687,763.41x = 1,511,666.30 × 1,511,666.30
  4. Step 4: Simplify right side
    687,763.41x = 2,285,134,993,107.78
  5. Step 5: Solve for x
    x = 2,285,134,993,107.78/687,763.41
  6. Step 6: Final answer
    x = 3,322,559.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.