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Finding the Third Proportional to 441,461 and 952,865

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Solution

The third proportional to 441,461 and 952,865 is: 2,056,697.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,461 : 952,865 = 952,865 : x
  2. Step 2: Convert to fraction form
    441,461/952,865 = 952,865/x
  3. Step 3: Cross multiply
    441,461x = 952,865 × 952,865
  4. Step 4: Simplify right side
    441,461x = 907,951,708,225
  5. Step 5: Solve for x
    x = 907,951,708,225/441,461
  6. Step 6: Final answer
    x = 2,056,697.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.