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Finding the Third Proportional to 373,942 and 810,974

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Solution

The third proportional to 373,942 and 810,974 is: 1,758,772.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,942 : 810,974 = 810,974 : x
  2. Step 2: Convert to fraction form
    373,942/810,974 = 810,974/x
  3. Step 3: Cross multiply
    373,942x = 810,974 × 810,974
  4. Step 4: Simplify right side
    373,942x = 657,678,828,676
  5. Step 5: Solve for x
    x = 657,678,828,676/373,942
  6. Step 6: Final answer
    x = 1,758,772.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.