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Finding the Third Proportional to 965,927.25 and 2,097,783

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Solution

The third proportional to 965,927.25 and 2,097,783 is: 4,555,926.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,927.25 : 2,097,783 = 2,097,783 : x
  2. Step 2: Convert to fraction form
    965,927.25/2,097,783 = 2,097,783/x
  3. Step 3: Cross multiply
    965,927.25x = 2,097,783 × 2,097,783
  4. Step 4: Simplify right side
    965,927.25x = 4,400,693,515,089
  5. Step 5: Solve for x
    x = 4,400,693,515,089/965,927.25
  6. Step 6: Final answer
    x = 4,555,926.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.