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Finding the Third Proportional to 1,085,850 and 2,270,772

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Solution

The third proportional to 1,085,850 and 2,270,772 is: 4,748,727.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085,850 : 2,270,772 = 2,270,772 : x
  2. Step 2: Convert to fraction form
    1,085,850/2,270,772 = 2,270,772/x
  3. Step 3: Cross multiply
    1,085,850x = 2,270,772 × 2,270,772
  4. Step 4: Simplify right side
    1,085,850x = 5,156,405,475,984
  5. Step 5: Solve for x
    x = 5,156,405,475,984/1,085,850
  6. Step 6: Final answer
    x = 4,748,727.24

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.