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Finding the Third Proportional to 372,938 and 818,460

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Solution

The third proportional to 372,938 and 818,460 is: 1,796,214.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,938 : 818,460 = 818,460 : x
  2. Step 2: Convert to fraction form
    372,938/818,460 = 818,460/x
  3. Step 3: Cross multiply
    372,938x = 818,460 × 818,460
  4. Step 4: Simplify right side
    372,938x = 669,876,771,600
  5. Step 5: Solve for x
    x = 669,876,771,600/372,938
  6. Step 6: Final answer
    x = 1,796,214.84

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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.