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Finding the Third Proportional to 442,494 and 949,506

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Solution

The third proportional to 442,494 and 949,506 is: 2,037,455.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,494 : 949,506 = 949,506 : x
  2. Step 2: Convert to fraction form
    442,494/949,506 = 949,506/x
  3. Step 3: Cross multiply
    442,494x = 949,506 × 949,506
  4. Step 4: Simplify right side
    442,494x = 901,561,644,036
  5. Step 5: Solve for x
    x = 901,561,644,036/442,494
  6. Step 6: Final answer
    x = 2,037,455.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.