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Finding the Third Proportional to 397,260 and 907,606

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Solution

The third proportional to 397,260 and 907,606 is: 2,073,575.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,260 : 907,606 = 907,606 : x
  2. Step 2: Convert to fraction form
    397,260/907,606 = 907,606/x
  3. Step 3: Cross multiply
    397,260x = 907,606 × 907,606
  4. Step 4: Simplify right side
    397,260x = 823,748,651,236
  5. Step 5: Solve for x
    x = 823,748,651,236/397,260
  6. Step 6: Final answer
    x = 2,073,575.62

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.