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Finding the Third Proportional to 1,471,107.69 and 3,174,446.88

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Solution

The third proportional to 1,471,107.69 and 3,174,446.88 is: 6,850,017.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471,107.69 : 3,174,446.88 = 3,174,446.88 : x
  2. Step 2: Convert to fraction form
    1,471,107.69/3,174,446.88 = 3,174,446.88/x
  3. Step 3: Cross multiply
    1,471,107.69x = 3,174,446.88 × 3,174,446.88
  4. Step 4: Simplify right side
    1,471,107.69x = 10,077,112,962,197.27
  5. Step 5: Solve for x
    x = 10,077,112,962,197.27/1,471,107.69
  6. Step 6: Final answer
    x = 6,850,017.20

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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.