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Finding the Third Proportional to 1,123,069 and 2,458,669

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Solution

The third proportional to 1,123,069 and 2,458,669 is: 5,382,619.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123,069 : 2,458,669 = 2,458,669 : x
  2. Step 2: Convert to fraction form
    1,123,069/2,458,669 = 2,458,669/x
  3. Step 3: Cross multiply
    1,123,069x = 2,458,669 × 2,458,669
  4. Step 4: Simplify right side
    1,123,069x = 6,045,053,251,561
  5. Step 5: Solve for x
    x = 6,045,053,251,561/1,123,069
  6. Step 6: Final answer
    x = 5,382,619.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.