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Finding the Third Proportional to 1,213,483.50 and 2,696,322.75

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Solution

The third proportional to 1,213,483.50 and 2,696,322.75 is: 5,991,145.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213,483.50 : 2,696,322.75 = 2,696,322.75 : x
  2. Step 2: Convert to fraction form
    1,213,483.50/2,696,322.75 = 2,696,322.75/x
  3. Step 3: Cross multiply
    1,213,483.50x = 2,696,322.75 × 2,696,322.75
  4. Step 4: Simplify right side
    1,213,483.50x = 7,270,156,372,167.56
  5. Step 5: Solve for x
    x = 7,270,156,372,167.56/1,213,483.50
  6. Step 6: Final answer
    x = 5,991,145.63

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.