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Finding the Third Proportional to 460,079.45 and 982,785.26

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Solution

The third proportional to 460,079.45 and 982,785.26 is: 2,099,348.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,079.45 : 982,785.26 = 982,785.26 : x
  2. Step 2: Convert to fraction form
    460,079.45/982,785.26 = 982,785.26/x
  3. Step 3: Cross multiply
    460,079.45x = 982,785.26 × 982,785.26
  4. Step 4: Simplify right side
    460,079.45x = 965,866,868,732.02
  5. Step 5: Solve for x
    x = 965,866,868,732.02/460,079.45
  6. Step 6: Final answer
    x = 2,099,348.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.