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Finding the Third Proportional to 666,564.19 and 1,005,739.03

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Solution

The third proportional to 666,564.19 and 1,005,739.03 is: 1,517,499.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,564.19 : 1,005,739.03 = 1,005,739.03 : x
  2. Step 2: Convert to fraction form
    666,564.19/1,005,739.03 = 1,005,739.03/x
  3. Step 3: Cross multiply
    666,564.19x = 1,005,739.03 × 1,005,739.03
  4. Step 4: Simplify right side
    666,564.19x = 1,011,510,998,979.69
  5. Step 5: Solve for x
    x = 1,011,510,998,979.69/666,564.19
  6. Step 6: Final answer
    x = 1,517,499.77

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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.