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Finding the Third Proportional to 666,684.75 and 1,059,076.50

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Solution

The third proportional to 666,684.75 and 1,059,076.50 is: 1,682,418.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,684.75 : 1,059,076.50 = 1,059,076.50 : x
  2. Step 2: Convert to fraction form
    666,684.75/1,059,076.50 = 1,059,076.50/x
  3. Step 3: Cross multiply
    666,684.75x = 1,059,076.50 × 1,059,076.50
  4. Step 4: Simplify right side
    666,684.75x = 1,121,643,032,852.25
  5. Step 5: Solve for x
    x = 1,121,643,032,852.25/666,684.75
  6. Step 6: Final answer
    x = 1,682,418.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.