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Finding the Third Proportional to 592,720 and 919,158

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Solution

The third proportional to 592,720 and 919,158 is: 1,425,380.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,720 : 919,158 = 919,158 : x
  2. Step 2: Convert to fraction form
    592,720/919,158 = 919,158/x
  3. Step 3: Cross multiply
    592,720x = 919,158 × 919,158
  4. Step 4: Simplify right side
    592,720x = 844,851,428,964
  5. Step 5: Solve for x
    x = 844,851,428,964/592,720
  6. Step 6: Final answer
    x = 1,425,380.33

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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.