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Finding the Third Proportional to 554,856 and 1,212,446.50

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Solution

The third proportional to 554,856 and 1,212,446.50 is: 2,649,383.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,856 : 1,212,446.50 = 1,212,446.50 : x
  2. Step 2: Convert to fraction form
    554,856/1,212,446.50 = 1,212,446.50/x
  3. Step 3: Cross multiply
    554,856x = 1,212,446.50 × 1,212,446.50
  4. Step 4: Simplify right side
    554,856x = 1,470,026,515,362.25
  5. Step 5: Solve for x
    x = 1,470,026,515,362.25/554,856
  6. Step 6: Final answer
    x = 2,649,383.83

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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.