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Finding the Third Proportional to 593,101.69 and 919,177.31

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Solution

The third proportional to 593,101.69 and 919,177.31 is: 1,424,522.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,101.69 : 919,177.31 = 919,177.31 : x
  2. Step 2: Convert to fraction form
    593,101.69/919,177.31 = 919,177.31/x
  3. Step 3: Cross multiply
    593,101.69x = 919,177.31 × 919,177.31
  4. Step 4: Simplify right side
    593,101.69x = 844,886,931,814.72
  5. Step 5: Solve for x
    x = 844,886,931,814.72/593,101.69
  6. Step 6: Final answer
    x = 1,424,522.89

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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.