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Finding the Third Proportional to 1,002,413.50 and 1,448,315

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Solution

The third proportional to 1,002,413.50 and 1,448,315 is: 2,092,565.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,413.50 : 1,448,315 = 1,448,315 : x
  2. Step 2: Convert to fraction form
    1,002,413.50/1,448,315 = 1,448,315/x
  3. Step 3: Cross multiply
    1,002,413.50x = 1,448,315 × 1,448,315
  4. Step 4: Simplify right side
    1,002,413.50x = 2,097,616,339,225
  5. Step 5: Solve for x
    x = 2,097,616,339,225/1,002,413.50
  6. Step 6: Final answer
    x = 2,092,565.93

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.