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Finding the Third Proportional to 666,567 and 1,005,797

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Solution

The third proportional to 666,567 and 1,005,797 is: 1,517,668.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,567 : 1,005,797 = 1,005,797 : x
  2. Step 2: Convert to fraction form
    666,567/1,005,797 = 1,005,797/x
  3. Step 3: Cross multiply
    666,567x = 1,005,797 × 1,005,797
  4. Step 4: Simplify right side
    666,567x = 1,011,627,605,209
  5. Step 5: Solve for x
    x = 1,011,627,605,209/666,567
  6. Step 6: Final answer
    x = 1,517,668.30

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