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Finding the Third Proportional to 665,168.06 and 1,027,673.16

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Solution

The third proportional to 665,168.06 and 1,027,673.16 is: 1,587,737.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,168.06 : 1,027,673.16 = 1,027,673.16 : x
  2. Step 2: Convert to fraction form
    665,168.06/1,027,673.16 = 1,027,673.16/x
  3. Step 3: Cross multiply
    665,168.06x = 1,027,673.16 × 1,027,673.16
  4. Step 4: Simplify right side
    665,168.06x = 1,056,112,116,076.84
  5. Step 5: Solve for x
    x = 1,056,112,116,076.84/665,168.06
  6. Step 6: Final answer
    x = 1,587,737.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.