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Finding the Third Proportional to 458,793 and 949,842

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Solution

The third proportional to 458,793 and 949,842 is: 1,966,463.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,793 : 949,842 = 949,842 : x
  2. Step 2: Convert to fraction form
    458,793/949,842 = 949,842/x
  3. Step 3: Cross multiply
    458,793x = 949,842 × 949,842
  4. Step 4: Simplify right side
    458,793x = 902,199,824,964
  5. Step 5: Solve for x
    x = 902,199,824,964/458,793
  6. Step 6: Final answer
    x = 1,966,463.80

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.