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Finding the Third Proportional to 619,413.75 and 1,371,483.56

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Solution

The third proportional to 619,413.75 and 1,371,483.56 is: 3,036,689.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,413.75 : 1,371,483.56 = 1,371,483.56 : x
  2. Step 2: Convert to fraction form
    619,413.75/1,371,483.56 = 1,371,483.56/x
  3. Step 3: Cross multiply
    619,413.75x = 1,371,483.56 × 1,371,483.56
  4. Step 4: Simplify right side
    619,413.75x = 1,880,967,162,207.69
  5. Step 5: Solve for x
    x = 1,880,967,162,207.69/619,413.75
  6. Step 6: Final answer
    x = 3,036,689.39

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.