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Finding the Third Proportional to 593,190 and 919,277

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Solution

The third proportional to 593,190 and 919,277 is: 1,424,619.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,190 : 919,277 = 919,277 : x
  2. Step 2: Convert to fraction form
    593,190/919,277 = 919,277/x
  3. Step 3: Cross multiply
    593,190x = 919,277 × 919,277
  4. Step 4: Simplify right side
    593,190x = 845,070,202,729
  5. Step 5: Solve for x
    x = 845,070,202,729/593,190
  6. Step 6: Final answer
    x = 1,424,619.77

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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.