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Finding the Third Proportional to 649,090 and 1,422,734

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Solution

The third proportional to 649,090 and 1,422,734 is: 3,118,476.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,090 : 1,422,734 = 1,422,734 : x
  2. Step 2: Convert to fraction form
    649,090/1,422,734 = 1,422,734/x
  3. Step 3: Cross multiply
    649,090x = 1,422,734 × 1,422,734
  4. Step 4: Simplify right side
    649,090x = 2,024,172,034,756
  5. Step 5: Solve for x
    x = 2,024,172,034,756/649,090
  6. Step 6: Final answer
    x = 3,118,476.69

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