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Finding the Third Proportional to 376,034 and 826,492

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Solution

The third proportional to 376,034 and 826,492 is: 1,816,561.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,034 : 826,492 = 826,492 : x
  2. Step 2: Convert to fraction form
    376,034/826,492 = 826,492/x
  3. Step 3: Cross multiply
    376,034x = 826,492 × 826,492
  4. Step 4: Simplify right side
    376,034x = 683,089,026,064
  5. Step 5: Solve for x
    x = 683,089,026,064/376,034
  6. Step 6: Final answer
    x = 1,816,561.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.