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Finding the Third Proportional to 449,582 and 962,930

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Solution

The third proportional to 449,582 and 962,930 is: 2,062,436.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,582 : 962,930 = 962,930 : x
  2. Step 2: Convert to fraction form
    449,582/962,930 = 962,930/x
  3. Step 3: Cross multiply
    449,582x = 962,930 × 962,930
  4. Step 4: Simplify right side
    449,582x = 927,234,184,900
  5. Step 5: Solve for x
    x = 927,234,184,900/449,582
  6. Step 6: Final answer
    x = 2,062,436.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.