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Finding the Third Proportional to 456,265.41 and 1,056,224.81

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Solution

The third proportional to 456,265.41 and 1,056,224.81 is: 2,445,091.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,265.41 : 1,056,224.81 = 1,056,224.81 : x
  2. Step 2: Convert to fraction form
    456,265.41/1,056,224.81 = 1,056,224.81/x
  3. Step 3: Cross multiply
    456,265.41x = 1,056,224.81 × 1,056,224.81
  4. Step 4: Simplify right side
    456,265.41x = 1,115,610,854,540.66
  5. Step 5: Solve for x
    x = 1,115,610,854,540.66/456,265.41
  6. Step 6: Final answer
    x = 2,445,091.91

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.