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Finding the Third Proportional to 572,324 and 1,233,212

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Solution

The third proportional to 572,324 and 1,233,212 is: 2,657,256.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,324 : 1,233,212 = 1,233,212 : x
  2. Step 2: Convert to fraction form
    572,324/1,233,212 = 1,233,212/x
  3. Step 3: Cross multiply
    572,324x = 1,233,212 × 1,233,212
  4. Step 4: Simplify right side
    572,324x = 1,520,811,836,944
  5. Step 5: Solve for x
    x = 1,520,811,836,944/572,324
  6. Step 6: Final answer
    x = 2,657,256.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.