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Finding the Third Proportional to 600,129 and 1,308,102.75

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Solution

The third proportional to 600,129 and 1,308,102.75 is: 2,851,274.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,129 : 1,308,102.75 = 1,308,102.75 : x
  2. Step 2: Convert to fraction form
    600,129/1,308,102.75 = 1,308,102.75/x
  3. Step 3: Cross multiply
    600,129x = 1,308,102.75 × 1,308,102.75
  4. Step 4: Simplify right side
    600,129x = 1,711,132,804,557.56
  5. Step 5: Solve for x
    x = 1,711,132,804,557.56/600,129
  6. Step 6: Final answer
    x = 2,851,274.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.