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Finding the Third Proportional to 662,734.69 and 1,019,935.69

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Solution

The third proportional to 662,734.69 and 1,019,935.69 is: 1,569,661.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,734.69 : 1,019,935.69 = 1,019,935.69 : x
  2. Step 2: Convert to fraction form
    662,734.69/1,019,935.69 = 1,019,935.69/x
  3. Step 3: Cross multiply
    662,734.69x = 1,019,935.69 × 1,019,935.69
  4. Step 4: Simplify right side
    662,734.69x = 1,040,268,806,636.10
  5. Step 5: Solve for x
    x = 1,040,268,806,636.10/662,734.69
  6. Step 6: Final answer
    x = 1,569,661.02

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.