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Finding the Third Proportional to 700,208.72 and 1,426,112.16

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Solution

The third proportional to 700,208.72 and 1,426,112.16 is: 2,904,556.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,208.72 : 1,426,112.16 = 1,426,112.16 : x
  2. Step 2: Convert to fraction form
    700,208.72/1,426,112.16 = 1,426,112.16/x
  3. Step 3: Cross multiply
    700,208.72x = 1,426,112.16 × 1,426,112.16
  4. Step 4: Simplify right side
    700,208.72x = 2,033,795,882,204.02
  5. Step 5: Solve for x
    x = 2,033,795,882,204.02/700,208.72
  6. Step 6: Final answer
    x = 2,904,556.64

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.