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Finding the Third Proportional to 1,095,012 and 2,242,512

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Solution

The third proportional to 1,095,012 and 2,242,512 is: 4,592,515.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095,012 : 2,242,512 = 2,242,512 : x
  2. Step 2: Convert to fraction form
    1,095,012/2,242,512 = 2,242,512/x
  3. Step 3: Cross multiply
    1,095,012x = 2,242,512 × 2,242,512
  4. Step 4: Simplify right side
    1,095,012x = 5,028,860,070,144
  5. Step 5: Solve for x
    x = 5,028,860,070,144/1,095,012
  6. Step 6: Final answer
    x = 4,592,515.95

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.