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Finding the Third Proportional to 976,777 and 1,509,449

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Solution

The third proportional to 976,777 and 1,509,449 is: 2,332,606.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,777 : 1,509,449 = 1,509,449 : x
  2. Step 2: Convert to fraction form
    976,777/1,509,449 = 1,509,449/x
  3. Step 3: Cross multiply
    976,777x = 1,509,449 × 1,509,449
  4. Step 4: Simplify right side
    976,777x = 2,278,436,283,601
  5. Step 5: Solve for x
    x = 2,278,436,283,601/976,777
  6. Step 6: Final answer
    x = 2,332,606.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.