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Finding the Third Proportional to 902,102 and 1,963,011

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Solution

The third proportional to 902,102 and 1,963,011 is: 4,271,592.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,102 : 1,963,011 = 1,963,011 : x
  2. Step 2: Convert to fraction form
    902,102/1,963,011 = 1,963,011/x
  3. Step 3: Cross multiply
    902,102x = 1,963,011 × 1,963,011
  4. Step 4: Simplify right side
    902,102x = 3,853,412,186,121
  5. Step 5: Solve for x
    x = 3,853,412,186,121/902,102
  6. Step 6: Final answer
    x = 4,271,592.55

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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.