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Finding the Third Proportional to 1,103,858 and 1,619,438

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Solution

The third proportional to 1,103,858 and 1,619,438 is: 2,375,830.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103,858 : 1,619,438 = 1,619,438 : x
  2. Step 2: Convert to fraction form
    1,103,858/1,619,438 = 1,619,438/x
  3. Step 3: Cross multiply
    1,103,858x = 1,619,438 × 1,619,438
  4. Step 4: Simplify right side
    1,103,858x = 2,622,579,435,844
  5. Step 5: Solve for x
    x = 2,622,579,435,844/1,103,858
  6. Step 6: Final answer
    x = 2,375,830.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.