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Finding the Third Proportional to 763,951.88 and 1,618,971.38

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Solution

The third proportional to 763,951.88 and 1,618,971.38 is: 3,430,933.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,951.88 : 1,618,971.38 = 1,618,971.38 : x
  2. Step 2: Convert to fraction form
    763,951.88/1,618,971.38 = 1,618,971.38/x
  3. Step 3: Cross multiply
    763,951.88x = 1,618,971.38 × 1,618,971.38
  4. Step 4: Simplify right side
    763,951.88x = 2,621,068,313,069.39
  5. Step 5: Solve for x
    x = 2,621,068,313,069.39/763,951.88
  6. Step 6: Final answer
    x = 3,430,933.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.