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Finding the Third Proportional to 1,175,535.75 and 1,655,413.50

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Solution

The third proportional to 1,175,535.75 and 1,655,413.50 is: 2,331,187.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175,535.75 : 1,655,413.50 = 1,655,413.50 : x
  2. Step 2: Convert to fraction form
    1,175,535.75/1,655,413.50 = 1,655,413.50/x
  3. Step 3: Cross multiply
    1,175,535.75x = 1,655,413.50 × 1,655,413.50
  4. Step 4: Simplify right side
    1,175,535.75x = 2,740,393,855,982.25
  5. Step 5: Solve for x
    x = 2,740,393,855,982.25/1,175,535.75
  6. Step 6: Final answer
    x = 2,331,187.17

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.