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Finding the Third Proportional to 647,174.25 and 1,013,013

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Solution

The third proportional to 647,174.25 and 1,013,013 is: 1,585,655.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,174.25 : 1,013,013 = 1,013,013 : x
  2. Step 2: Convert to fraction form
    647,174.25/1,013,013 = 1,013,013/x
  3. Step 3: Cross multiply
    647,174.25x = 1,013,013 × 1,013,013
  4. Step 4: Simplify right side
    647,174.25x = 1,026,195,338,169
  5. Step 5: Solve for x
    x = 1,026,195,338,169/647,174.25
  6. Step 6: Final answer
    x = 1,585,655.39

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.