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Finding the Third Proportional to 780,232.50 and 1,686,096

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Solution

The third proportional to 780,232.50 and 1,686,096 is: 3,643,682.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,232.50 : 1,686,096 = 1,686,096 : x
  2. Step 2: Convert to fraction form
    780,232.50/1,686,096 = 1,686,096/x
  3. Step 3: Cross multiply
    780,232.50x = 1,686,096 × 1,686,096
  4. Step 4: Simplify right side
    780,232.50x = 2,842,919,721,216
  5. Step 5: Solve for x
    x = 2,842,919,721,216/780,232.50
  6. Step 6: Final answer
    x = 3,643,682.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.