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Finding the Third Proportional to 617,214.97 and 1,325,434.50

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Solution

The third proportional to 617,214.97 and 1,325,434.50 is: 2,846,296.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,214.97 : 1,325,434.50 = 1,325,434.50 : x
  2. Step 2: Convert to fraction form
    617,214.97/1,325,434.50 = 1,325,434.50/x
  3. Step 3: Cross multiply
    617,214.97x = 1,325,434.50 × 1,325,434.50
  4. Step 4: Simplify right side
    617,214.97x = 1,756,776,613,790.25
  5. Step 5: Solve for x
    x = 1,756,776,613,790.25/617,214.97
  6. Step 6: Final answer
    x = 2,846,296.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.