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Finding the Third Proportional to 493,614 and 1,049,509.50

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Solution

The third proportional to 493,614 and 1,049,509.50 is: 2,231,440.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,614 : 1,049,509.50 = 1,049,509.50 : x
  2. Step 2: Convert to fraction form
    493,614/1,049,509.50 = 1,049,509.50/x
  3. Step 3: Cross multiply
    493,614x = 1,049,509.50 × 1,049,509.50
  4. Step 4: Simplify right side
    493,614x = 1,101,470,190,590.25
  5. Step 5: Solve for x
    x = 1,101,470,190,590.25/493,614
  6. Step 6: Final answer
    x = 2,231,440.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.