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Finding the Third Proportional to 1,047,618.56 and 1,644,467.06

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Solution

The third proportional to 1,047,618.56 and 1,644,467.06 is: 2,581,351.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047,618.56 : 1,644,467.06 = 1,644,467.06 : x
  2. Step 2: Convert to fraction form
    1,047,618.56/1,644,467.06 = 1,644,467.06/x
  3. Step 3: Cross multiply
    1,047,618.56x = 1,644,467.06 × 1,644,467.06
  4. Step 4: Simplify right side
    1,047,618.56x = 2,704,271,919,647.38
  5. Step 5: Solve for x
    x = 2,704,271,919,647.38/1,047,618.56
  6. Step 6: Final answer
    x = 2,581,351.66

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.