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Finding the Third Proportional to 415,676.81 and 899,672.06

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Solution

The third proportional to 415,676.81 and 899,672.06 is: 1,947,209.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,676.81 : 899,672.06 = 899,672.06 : x
  2. Step 2: Convert to fraction form
    415,676.81/899,672.06 = 899,672.06/x
  3. Step 3: Cross multiply
    415,676.81x = 899,672.06 × 899,672.06
  4. Step 4: Simplify right side
    415,676.81x = 809,409,820,043.00
  5. Step 5: Solve for x
    x = 809,409,820,043.00/415,676.81
  6. Step 6: Final answer
    x = 1,947,209.46

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