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Finding the Third Proportional to 449,584 and 962,934

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Solution

The third proportional to 449,584 and 962,934 is: 2,062,444.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,584 : 962,934 = 962,934 : x
  2. Step 2: Convert to fraction form
    449,584/962,934 = 962,934/x
  3. Step 3: Cross multiply
    449,584x = 962,934 × 962,934
  4. Step 4: Simplify right side
    449,584x = 927,241,888,356
  5. Step 5: Solve for x
    x = 927,241,888,356/449,584
  6. Step 6: Final answer
    x = 2,062,444.14

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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.