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Finding the Third Proportional to 2,809,822.50 and 4,183,623

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Solution

The third proportional to 2,809,822.50 and 4,183,623 is: 6,229,112.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809,822.50 : 4,183,623 = 4,183,623 : x
  2. Step 2: Convert to fraction form
    2,809,822.50/4,183,623 = 4,183,623/x
  3. Step 3: Cross multiply
    2,809,822.50x = 4,183,623 × 4,183,623
  4. Step 4: Simplify right side
    2,809,822.50x = 17,502,701,406,129
  5. Step 5: Solve for x
    x = 17,502,701,406,129/2,809,822.50
  6. Step 6: Final answer
    x = 6,229,112.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.