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Finding the Third Proportional to 812,841.75 and 1,265,787

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Solution

The third proportional to 812,841.75 and 1,265,787 is: 1,971,129.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,841.75 : 1,265,787 = 1,265,787 : x
  2. Step 2: Convert to fraction form
    812,841.75/1,265,787 = 1,265,787/x
  3. Step 3: Cross multiply
    812,841.75x = 1,265,787 × 1,265,787
  4. Step 4: Simplify right side
    812,841.75x = 1,602,216,729,369
  5. Step 5: Solve for x
    x = 1,602,216,729,369/812,841.75
  6. Step 6: Final answer
    x = 1,971,129.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.