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Finding the Third Proportional to 1,204,998.19 and 1,761,317.44

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Solution

The third proportional to 1,204,998.19 and 1,761,317.44 is: 2,574,476.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204,998.19 : 1,761,317.44 = 1,761,317.44 : x
  2. Step 2: Convert to fraction form
    1,204,998.19/1,761,317.44 = 1,761,317.44/x
  3. Step 3: Cross multiply
    1,204,998.19x = 1,761,317.44 × 1,761,317.44
  4. Step 4: Simplify right side
    1,204,998.19x = 3,102,239,115,641.57
  5. Step 5: Solve for x
    x = 3,102,239,115,641.57/1,204,998.19
  6. Step 6: Final answer
    x = 2,574,476.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.