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Finding the Third Proportional to 763,996 and 1,659,394

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Solution

The third proportional to 763,996 and 1,659,394 is: 3,604,192.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,996 : 1,659,394 = 1,659,394 : x
  2. Step 2: Convert to fraction form
    763,996/1,659,394 = 1,659,394/x
  3. Step 3: Cross multiply
    763,996x = 1,659,394 × 1,659,394
  4. Step 4: Simplify right side
    763,996x = 2,753,588,447,236
  5. Step 5: Solve for x
    x = 2,753,588,447,236/763,996
  6. Step 6: Final answer
    x = 3,604,192.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.