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Finding the Third Proportional to 567,413.38 and 1,215,775.63

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Solution

The third proportional to 567,413.38 and 1,215,775.63 is: 2,604,997.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,413.38 : 1,215,775.63 = 1,215,775.63 : x
  2. Step 2: Convert to fraction form
    567,413.38/1,215,775.63 = 1,215,775.63/x
  3. Step 3: Cross multiply
    567,413.38x = 1,215,775.63 × 1,215,775.63
  4. Step 4: Simplify right side
    567,413.38x = 1,478,110,370,344.14
  5. Step 5: Solve for x
    x = 1,478,110,370,344.14/567,413.38
  6. Step 6: Final answer
    x = 2,604,997.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.