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Finding the Third Proportional to 748,458 and 1,646,383.50

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Solution

The third proportional to 748,458 and 1,646,383.50 is: 3,621,550.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,458 : 1,646,383.50 = 1,646,383.50 : x
  2. Step 2: Convert to fraction form
    748,458/1,646,383.50 = 1,646,383.50/x
  3. Step 3: Cross multiply
    748,458x = 1,646,383.50 × 1,646,383.50
  4. Step 4: Simplify right side
    748,458x = 2,710,578,629,072.25
  5. Step 5: Solve for x
    x = 2,710,578,629,072.25/748,458
  6. Step 6: Final answer
    x = 3,621,550.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.