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Finding the Third Proportional to 1,190,474 and 1,796,445

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Solution

The third proportional to 1,190,474 and 1,796,445 is: 2,710,865.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190,474 : 1,796,445 = 1,796,445 : x
  2. Step 2: Convert to fraction form
    1,190,474/1,796,445 = 1,796,445/x
  3. Step 3: Cross multiply
    1,190,474x = 1,796,445 × 1,796,445
  4. Step 4: Simplify right side
    1,190,474x = 3,227,214,638,025
  5. Step 5: Solve for x
    x = 3,227,214,638,025/1,190,474
  6. Step 6: Final answer
    x = 2,710,865.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.