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Finding the Third Proportional to 1,582,886 and 3,221,664

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Solution

The third proportional to 1,582,886 and 3,221,664 is: 6,557,085.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582,886 : 3,221,664 = 3,221,664 : x
  2. Step 2: Convert to fraction form
    1,582,886/3,221,664 = 3,221,664/x
  3. Step 3: Cross multiply
    1,582,886x = 3,221,664 × 3,221,664
  4. Step 4: Simplify right side
    1,582,886x = 10,379,118,928,896
  5. Step 5: Solve for x
    x = 10,379,118,928,896/1,582,886
  6. Step 6: Final answer
    x = 6,557,085.56

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.