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Finding the Third Proportional to 2,169,828 and 4,725,398.25

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Solution

The third proportional to 2,169,828 and 4,725,398.25 is: 10,290,856.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169,828 : 4,725,398.25 = 4,725,398.25 : x
  2. Step 2: Convert to fraction form
    2,169,828/4,725,398.25 = 4,725,398.25/x
  3. Step 3: Cross multiply
    2,169,828x = 4,725,398.25 × 4,725,398.25
  4. Step 4: Simplify right side
    2,169,828x = 22,329,388,621,103.06
  5. Step 5: Solve for x
    x = 22,329,388,621,103.06/2,169,828
  6. Step 6: Final answer
    x = 10,290,856.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.