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Finding the Third Proportional to 432,822 and 945,274

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Solution

The third proportional to 432,822 and 945,274 is: 2,064,458.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,822 : 945,274 = 945,274 : x
  2. Step 2: Convert to fraction form
    432,822/945,274 = 945,274/x
  3. Step 3: Cross multiply
    432,822x = 945,274 × 945,274
  4. Step 4: Simplify right side
    432,822x = 893,542,935,076
  5. Step 5: Solve for x
    x = 893,542,935,076/432,822
  6. Step 6: Final answer
    x = 2,064,458.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.