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Finding the Third Proportional to 413,780 and 966,984

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Solution

The third proportional to 413,780 and 966,984 is: 2,259,795.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,780 : 966,984 = 966,984 : x
  2. Step 2: Convert to fraction form
    413,780/966,984 = 966,984/x
  3. Step 3: Cross multiply
    413,780x = 966,984 × 966,984
  4. Step 4: Simplify right side
    413,780x = 935,058,056,256
  5. Step 5: Solve for x
    x = 935,058,056,256/413,780
  6. Step 6: Final answer
    x = 2,259,795.20

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.