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Finding the Third Proportional to 593,145 and 919,211

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Solution

The third proportional to 593,145 and 919,211 is: 1,424,523.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,145 : 919,211 = 919,211 : x
  2. Step 2: Convert to fraction form
    593,145/919,211 = 919,211/x
  3. Step 3: Cross multiply
    593,145x = 919,211 × 919,211
  4. Step 4: Simplify right side
    593,145x = 844,948,862,521
  5. Step 5: Solve for x
    x = 844,948,862,521/593,145
  6. Step 6: Final answer
    x = 1,424,523.28

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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.