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Finding the Third Proportional to 572,977 and 1,214,254

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Solution

The third proportional to 572,977 and 1,214,254 is: 2,573,249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,977 : 1,214,254 = 1,214,254 : x
  2. Step 2: Convert to fraction form
    572,977/1,214,254 = 1,214,254/x
  3. Step 3: Cross multiply
    572,977x = 1,214,254 × 1,214,254
  4. Step 4: Simplify right side
    572,977x = 1,474,412,776,516
  5. Step 5: Solve for x
    x = 1,474,412,776,516/572,977
  6. Step 6: Final answer
    x = 2,573,249.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.