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Finding the Third Proportional to 593,182 and 919,263

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Solution

The third proportional to 593,182 and 919,263 is: 1,424,595.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,182 : 919,263 = 919,263 : x
  2. Step 2: Convert to fraction form
    593,182/919,263 = 919,263/x
  3. Step 3: Cross multiply
    593,182x = 919,263 × 919,263
  4. Step 4: Simplify right side
    593,182x = 845,044,463,169
  5. Step 5: Solve for x
    x = 845,044,463,169/593,182
  6. Step 6: Final answer
    x = 1,424,595.59

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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.