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Finding the Third Proportional to 572,844.05 and 1,244,214.21

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Solution

The third proportional to 572,844.05 and 1,244,214.21 is: 2,702,426.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,844.05 : 1,244,214.21 = 1,244,214.21 : x
  2. Step 2: Convert to fraction form
    572,844.05/1,244,214.21 = 1,244,214.21/x
  3. Step 3: Cross multiply
    572,844.05x = 1,244,214.21 × 1,244,214.21
  4. Step 4: Simplify right side
    572,844.05x = 1,548,069,002,698.83
  5. Step 5: Solve for x
    x = 1,548,069,002,698.83/572,844.05
  6. Step 6: Final answer
    x = 2,702,426.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.