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Finding the Third Proportional to 374,536 and 819,144

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Solution

The third proportional to 374,536 and 819,144 is: 1,791,541.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,536 : 819,144 = 819,144 : x
  2. Step 2: Convert to fraction form
    374,536/819,144 = 819,144/x
  3. Step 3: Cross multiply
    374,536x = 819,144 × 819,144
  4. Step 4: Simplify right side
    374,536x = 670,996,892,736
  5. Step 5: Solve for x
    x = 670,996,892,736/374,536
  6. Step 6: Final answer
    x = 1,791,541.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.