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Finding the Third Proportional to 1,190,466 and 1,796,433

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Solution

The third proportional to 1,190,466 and 1,796,433 is: 2,710,847.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190,466 : 1,796,433 = 1,796,433 : x
  2. Step 2: Convert to fraction form
    1,190,466/1,796,433 = 1,796,433/x
  3. Step 3: Cross multiply
    1,190,466x = 1,796,433 × 1,796,433
  4. Step 4: Simplify right side
    1,190,466x = 3,227,171,523,489
  5. Step 5: Solve for x
    x = 3,227,171,523,489/1,190,466
  6. Step 6: Final answer
    x = 2,710,847.28

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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.