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Finding the Third Proportional to 673,886.25 and 1,465,863.75

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Solution

The third proportional to 673,886.25 and 1,465,863.75 is: 3,188,604.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,886.25 : 1,465,863.75 = 1,465,863.75 : x
  2. Step 2: Convert to fraction form
    673,886.25/1,465,863.75 = 1,465,863.75/x
  3. Step 3: Cross multiply
    673,886.25x = 1,465,863.75 × 1,465,863.75
  4. Step 4: Simplify right side
    673,886.25x = 2,148,756,533,564.06
  5. Step 5: Solve for x
    x = 2,148,756,533,564.06/673,886.25
  6. Step 6: Final answer
    x = 3,188,604.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.