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Finding the Third Proportional to 1,863,223.50 and 2,804,166

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Solution

The third proportional to 1,863,223.50 and 2,804,166 is: 4,220,291.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863,223.50 : 2,804,166 = 2,804,166 : x
  2. Step 2: Convert to fraction form
    1,863,223.50/2,804,166 = 2,804,166/x
  3. Step 3: Cross multiply
    1,863,223.50x = 2,804,166 × 2,804,166
  4. Step 4: Simplify right side
    1,863,223.50x = 7,863,346,955,556
  5. Step 5: Solve for x
    x = 7,863,346,955,556/1,863,223.50
  6. Step 6: Final answer
    x = 4,220,291.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.