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Finding the Third Proportional to 593,149 and 919,217

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Solution

The third proportional to 593,149 and 919,217 is: 1,424,532.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,149 : 919,217 = 919,217 : x
  2. Step 2: Convert to fraction form
    593,149/919,217 = 919,217/x
  3. Step 3: Cross multiply
    593,149x = 919,217 × 919,217
  4. Step 4: Simplify right side
    593,149x = 844,959,893,089
  5. Step 5: Solve for x
    x = 844,959,893,089/593,149
  6. Step 6: Final answer
    x = 1,424,532.27

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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.