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Finding the Third Proportional to 597,948 and 873,896

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Solution

The third proportional to 597,948 and 873,896 is: 1,277,191.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,948 : 873,896 = 873,896 : x
  2. Step 2: Convert to fraction form
    597,948/873,896 = 873,896/x
  3. Step 3: Cross multiply
    597,948x = 873,896 × 873,896
  4. Step 4: Simplify right side
    597,948x = 763,694,218,816
  5. Step 5: Solve for x
    x = 763,694,218,816/597,948
  6. Step 6: Final answer
    x = 1,277,191.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.