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Finding the Third Proportional to 612,576 and 1,345,856

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Solution

The third proportional to 612,576 and 1,345,856 is: 2,956,903.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,576 : 1,345,856 = 1,345,856 : x
  2. Step 2: Convert to fraction form
    612,576/1,345,856 = 1,345,856/x
  3. Step 3: Cross multiply
    612,576x = 1,345,856 × 1,345,856
  4. Step 4: Simplify right side
    612,576x = 1,811,328,372,736
  5. Step 5: Solve for x
    x = 1,811,328,372,736/612,576
  6. Step 6: Final answer
    x = 2,956,903.92

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.