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Finding the Third Proportional to 766,329.93 and 1,806,453.46

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Solution

The third proportional to 766,329.93 and 1,806,453.46 is: 4,258,314.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,329.93 : 1,806,453.46 = 1,806,453.46 : x
  2. Step 2: Convert to fraction form
    766,329.93/1,806,453.46 = 1,806,453.46/x
  3. Step 3: Cross multiply
    766,329.93x = 1,806,453.46 × 1,806,453.46
  4. Step 4: Simplify right side
    766,329.93x = 3,263,274,092,419.97
  5. Step 5: Solve for x
    x = 3,263,274,092,419.97/766,329.93
  6. Step 6: Final answer
    x = 4,258,314.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.