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Finding the Third Proportional to 465,456 and 1,013,856

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Solution

The third proportional to 465,456 and 1,013,856 is: 2,208,380.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,456 : 1,013,856 = 1,013,856 : x
  2. Step 2: Convert to fraction form
    465,456/1,013,856 = 1,013,856/x
  3. Step 3: Cross multiply
    465,456x = 1,013,856 × 1,013,856
  4. Step 4: Simplify right side
    465,456x = 1,027,903,988,736
  5. Step 5: Solve for x
    x = 1,027,903,988,736/465,456
  6. Step 6: Final answer
    x = 2,208,380.57

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.