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Finding the Third Proportional to 677,016 and 1,470,576

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Solution

The third proportional to 677,016 and 1,470,576 is: 3,194,302.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,016 : 1,470,576 = 1,470,576 : x
  2. Step 2: Convert to fraction form
    677,016/1,470,576 = 1,470,576/x
  3. Step 3: Cross multiply
    677,016x = 1,470,576 × 1,470,576
  4. Step 4: Simplify right side
    677,016x = 2,162,593,771,776
  5. Step 5: Solve for x
    x = 2,162,593,771,776/677,016
  6. Step 6: Final answer
    x = 3,194,302.31

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.