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Finding the Third Proportional to 2,000,412.50 and 2,858,543

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Solution

The third proportional to 2,000,412.50 and 2,858,543 is: 4,084,791.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000,412.50 : 2,858,543 = 2,858,543 : x
  2. Step 2: Convert to fraction form
    2,000,412.50/2,858,543 = 2,858,543/x
  3. Step 3: Cross multiply
    2,000,412.50x = 2,858,543 × 2,858,543
  4. Step 4: Simplify right side
    2,000,412.50x = 8,171,268,082,849
  5. Step 5: Solve for x
    x = 8,171,268,082,849/2,000,412.50
  6. Step 6: Final answer
    x = 4,084,791.55

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.