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Finding the Third Proportional to 1,477,671.75 and 3,191,107.50

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Solution

The third proportional to 1,477,671.75 and 3,191,107.50 is: 6,891,359.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477,671.75 : 3,191,107.50 = 3,191,107.50 : x
  2. Step 2: Convert to fraction form
    1,477,671.75/3,191,107.50 = 3,191,107.50/x
  3. Step 3: Cross multiply
    1,477,671.75x = 3,191,107.50 × 3,191,107.50
  4. Step 4: Simplify right side
    1,477,671.75x = 10,183,167,076,556.25
  5. Step 5: Solve for x
    x = 10,183,167,076,556.25/1,477,671.75
  6. Step 6: Final answer
    x = 6,891,359.38

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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.