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Finding the Third Proportional to 442,658 and 949,833

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Solution

The third proportional to 442,658 and 949,833 is: 2,038,103.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,658 : 949,833 = 949,833 : x
  2. Step 2: Convert to fraction form
    442,658/949,833 = 949,833/x
  3. Step 3: Cross multiply
    442,658x = 949,833 × 949,833
  4. Step 4: Simplify right side
    442,658x = 902,182,727,889
  5. Step 5: Solve for x
    x = 902,182,727,889/442,658
  6. Step 6: Final answer
    x = 2,038,103.29

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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.