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Finding the Third Proportional to 462,127 and 618,134

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Solution

The third proportional to 462,127 and 618,134 is: 826,806.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,127 : 618,134 = 618,134 : x
  2. Step 2: Convert to fraction form
    462,127/618,134 = 618,134/x
  3. Step 3: Cross multiply
    462,127x = 618,134 × 618,134
  4. Step 4: Simplify right side
    462,127x = 382,089,641,956
  5. Step 5: Solve for x
    x = 382,089,641,956/462,127
  6. Step 6: Final answer
    x = 826,806.57

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.