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Finding the Third Proportional to 1,963,608.50 and 4,237,042

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Solution

The third proportional to 1,963,608.50 and 4,237,042 is: 9,142,619.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963,608.50 : 4,237,042 = 4,237,042 : x
  2. Step 2: Convert to fraction form
    1,963,608.50/4,237,042 = 4,237,042/x
  3. Step 3: Cross multiply
    1,963,608.50x = 4,237,042 × 4,237,042
  4. Step 4: Simplify right side
    1,963,608.50x = 17,952,524,909,764
  5. Step 5: Solve for x
    x = 17,952,524,909,764/1,963,608.50
  6. Step 6: Final answer
    x = 9,142,619.27

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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.