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Finding the Third Proportional to 847,201.36 and 1,832,063.48

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Solution

The third proportional to 847,201.36 and 1,832,063.48 is: 3,961,816.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,201.36 : 1,832,063.48 = 1,832,063.48 : x
  2. Step 2: Convert to fraction form
    847,201.36/1,832,063.48 = 1,832,063.48/x
  3. Step 3: Cross multiply
    847,201.36x = 1,832,063.48 × 1,832,063.48
  4. Step 4: Simplify right side
    847,201.36x = 3,356,456,610,780.27
  5. Step 5: Solve for x
    x = 3,356,456,610,780.27/847,201.36
  6. Step 6: Final answer
    x = 3,961,816.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.