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Finding the Third Proportional to 1,204,854 and 1,606,291.50

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Solution

The third proportional to 1,204,854 and 1,606,291.50 is: 2,141,481.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204,854 : 1,606,291.50 = 1,606,291.50 : x
  2. Step 2: Convert to fraction form
    1,204,854/1,606,291.50 = 1,606,291.50/x
  3. Step 3: Cross multiply
    1,204,854x = 1,606,291.50 × 1,606,291.50
  4. Step 4: Simplify right side
    1,204,854x = 2,580,172,382,972.25
  5. Step 5: Solve for x
    x = 2,580,172,382,972.25/1,204,854
  6. Step 6: Final answer
    x = 2,141,481.36

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.