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Finding the Third Proportional to 902,100 and 1,963,006.50

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Solution

The third proportional to 902,100 and 1,963,006.50 is: 4,271,582.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,100 : 1,963,006.50 = 1,963,006.50 : x
  2. Step 2: Convert to fraction form
    902,100/1,963,006.50 = 1,963,006.50/x
  3. Step 3: Cross multiply
    902,100x = 1,963,006.50 × 1,963,006.50
  4. Step 4: Simplify right side
    902,100x = 3,853,394,519,042.25
  5. Step 5: Solve for x
    x = 3,853,394,519,042.25/902,100
  6. Step 6: Final answer
    x = 4,271,582.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.