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Finding the Third Proportional to 593,180 and 919,260

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Solution

The third proportional to 593,180 and 919,260 is: 1,424,591.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,180 : 919,260 = 919,260 : x
  2. Step 2: Convert to fraction form
    593,180/919,260 = 919,260/x
  3. Step 3: Cross multiply
    593,180x = 919,260 × 919,260
  4. Step 4: Simplify right side
    593,180x = 845,038,947,600
  5. Step 5: Solve for x
    x = 845,038,947,600/593,180
  6. Step 6: Final answer
    x = 1,424,591.10

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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.