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Finding the Third Proportional to 705,915 and 1,449,358.31

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Solution

The third proportional to 705,915 and 1,449,358.31 is: 2,975,768.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,915 : 1,449,358.31 = 1,449,358.31 : x
  2. Step 2: Convert to fraction form
    705,915/1,449,358.31 = 1,449,358.31/x
  3. Step 3: Cross multiply
    705,915x = 1,449,358.31 × 1,449,358.31
  4. Step 4: Simplify right side
    705,915x = 2,100,639,518,012.85
  5. Step 5: Solve for x
    x = 2,100,639,518,012.85/705,915
  6. Step 6: Final answer
    x = 2,975,768.35

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.