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Finding the Third Proportional to 574,820 and 1,209,188

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Solution

The third proportional to 574,820 and 1,209,188 is: 2,543,640.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,820 : 1,209,188 = 1,209,188 : x
  2. Step 2: Convert to fraction form
    574,820/1,209,188 = 1,209,188/x
  3. Step 3: Cross multiply
    574,820x = 1,209,188 × 1,209,188
  4. Step 4: Simplify right side
    574,820x = 1,462,135,619,344
  5. Step 5: Solve for x
    x = 1,462,135,619,344/574,820
  6. Step 6: Final answer
    x = 2,543,640.83

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.