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Finding the Third Proportional to 597,957 and 919,079

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Solution

The third proportional to 597,957 and 919,079 is: 1,412,653.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,957 : 919,079 = 919,079 : x
  2. Step 2: Convert to fraction form
    597,957/919,079 = 919,079/x
  3. Step 3: Cross multiply
    597,957x = 919,079 × 919,079
  4. Step 4: Simplify right side
    597,957x = 844,706,208,241
  5. Step 5: Solve for x
    x = 844,706,208,241/597,957
  6. Step 6: Final answer
    x = 1,412,653.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.