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Finding the Third Proportional to 666,706.50 and 1,083,165.75

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Solution

The third proportional to 666,706.50 and 1,083,165.75 is: 1,759,766.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,706.50 : 1,083,165.75 = 1,083,165.75 : x
  2. Step 2: Convert to fraction form
    666,706.50/1,083,165.75 = 1,083,165.75/x
  3. Step 3: Cross multiply
    666,706.50x = 1,083,165.75 × 1,083,165.75
  4. Step 4: Simplify right side
    666,706.50x = 1,173,248,041,973.06
  5. Step 5: Solve for x
    x = 1,173,248,041,973.06/666,706.50
  6. Step 6: Final answer
    x = 1,759,766.92

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.