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Finding the Third Proportional to 1,205,654.25 and 2,600,603.25

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Solution

The third proportional to 1,205,654.25 and 2,600,603.25 is: 5,609,516.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205,654.25 : 2,600,603.25 = 2,600,603.25 : x
  2. Step 2: Convert to fraction form
    1,205,654.25/2,600,603.25 = 2,600,603.25/x
  3. Step 3: Cross multiply
    1,205,654.25x = 2,600,603.25 × 2,600,603.25
  4. Step 4: Simplify right side
    1,205,654.25x = 6,763,137,263,910.56
  5. Step 5: Solve for x
    x = 6,763,137,263,910.56/1,205,654.25
  6. Step 6: Final answer
    x = 5,609,516.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.