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Finding the Third Proportional to 409,050 and 955,371

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Solution

The third proportional to 409,050 and 955,371 is: 2,231,350.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,050 : 955,371 = 955,371 : x
  2. Step 2: Convert to fraction form
    409,050/955,371 = 955,371/x
  3. Step 3: Cross multiply
    409,050x = 955,371 × 955,371
  4. Step 4: Simplify right side
    409,050x = 912,733,747,641
  5. Step 5: Solve for x
    x = 912,733,747,641/409,050
  6. Step 6: Final answer
    x = 2,231,350.07

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.