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Finding the Third Proportional to 612,218.75 and 1,429,634.75

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Solution

The third proportional to 612,218.75 and 1,429,634.75 is: 3,338,439.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,218.75 : 1,429,634.75 = 1,429,634.75 : x
  2. Step 2: Convert to fraction form
    612,218.75/1,429,634.75 = 1,429,634.75/x
  3. Step 3: Cross multiply
    612,218.75x = 1,429,634.75 × 1,429,634.75
  4. Step 4: Simplify right side
    612,218.75x = 2,043,855,518,407.56
  5. Step 5: Solve for x
    x = 2,043,855,518,407.56/612,218.75
  6. Step 6: Final answer
    x = 3,338,439.93

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.