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Finding the Third Proportional to 592,726 and 919,167

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Solution

The third proportional to 592,726 and 919,167 is: 1,425,393.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,726 : 919,167 = 919,167 : x
  2. Step 2: Convert to fraction form
    592,726/919,167 = 919,167/x
  3. Step 3: Cross multiply
    592,726x = 919,167 × 919,167
  4. Step 4: Simplify right side
    592,726x = 844,867,973,889
  5. Step 5: Solve for x
    x = 844,867,973,889/592,726
  6. Step 6: Final answer
    x = 1,425,393.81

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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.