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Finding the Third Proportional to 572,965 and 1,214,231

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Solution

The third proportional to 572,965 and 1,214,231 is: 2,573,205.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,965 : 1,214,231 = 1,214,231 : x
  2. Step 2: Convert to fraction form
    572,965/1,214,231 = 1,214,231/x
  3. Step 3: Cross multiply
    572,965x = 1,214,231 × 1,214,231
  4. Step 4: Simplify right side
    572,965x = 1,474,356,921,361
  5. Step 5: Solve for x
    x = 1,474,356,921,361/572,965
  6. Step 6: Final answer
    x = 2,573,205.91

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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.