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Finding the Third Proportional to 458,780 and 949,816

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Solution

The third proportional to 458,780 and 949,816 is: 1,966,411.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,780 : 949,816 = 949,816 : x
  2. Step 2: Convert to fraction form
    458,780/949,816 = 949,816/x
  3. Step 3: Cross multiply
    458,780x = 949,816 × 949,816
  4. Step 4: Simplify right side
    458,780x = 902,150,433,856
  5. Step 5: Solve for x
    x = 902,150,433,856/458,780
  6. Step 6: Final answer
    x = 1,966,411.86

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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.