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Finding the Third Proportional to 593,109 and 919,157

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Solution

The third proportional to 593,109 and 919,157 is: 1,424,442.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,109 : 919,157 = 919,157 : x
  2. Step 2: Convert to fraction form
    593,109/919,157 = 919,157/x
  3. Step 3: Cross multiply
    593,109x = 919,157 × 919,157
  4. Step 4: Simplify right side
    593,109x = 844,849,590,649
  5. Step 5: Solve for x
    x = 844,849,590,649/593,109
  6. Step 6: Final answer
    x = 1,424,442.37

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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.