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Finding the Third Proportional to 782,055 and 1,713,585.38

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Solution

The third proportional to 782,055 and 1,713,585.38 is: 3,754,690.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,055 : 1,713,585.38 = 1,713,585.38 : x
  2. Step 2: Convert to fraction form
    782,055/1,713,585.38 = 1,713,585.38/x
  3. Step 3: Cross multiply
    782,055x = 1,713,585.38 × 1,713,585.38
  4. Step 4: Simplify right side
    782,055x = 2,936,374,837,413.89
  5. Step 5: Solve for x
    x = 2,936,374,837,413.89/782,055
  6. Step 6: Final answer
    x = 3,754,690.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.