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Finding the Third Proportional to 449,303 and 980,938

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Solution

The third proportional to 449,303 and 980,938 is: 2,141,626.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,303 : 980,938 = 980,938 : x
  2. Step 2: Convert to fraction form
    449,303/980,938 = 980,938/x
  3. Step 3: Cross multiply
    449,303x = 980,938 × 980,938
  4. Step 4: Simplify right side
    449,303x = 962,239,359,844
  5. Step 5: Solve for x
    x = 962,239,359,844/449,303
  6. Step 6: Final answer
    x = 2,141,626.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.