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Finding the Third Proportional to 666,564.75 and 1,005,793.88

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Solution

The third proportional to 666,564.75 and 1,005,793.88 is: 1,517,663.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,564.75 : 1,005,793.88 = 1,005,793.88 : x
  2. Step 2: Convert to fraction form
    666,564.75/1,005,793.88 = 1,005,793.88/x
  3. Step 3: Cross multiply
    666,564.75x = 1,005,793.88 × 1,005,793.88
  4. Step 4: Simplify right side
    666,564.75x = 1,011,621,318,987.52
  5. Step 5: Solve for x
    x = 1,011,621,318,987.52/666,564.75
  6. Step 6: Final answer
    x = 1,517,663.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.