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Finding the Third Proportional to 449,172 and 982,746

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Solution

The third proportional to 449,172 and 982,746 is: 2,150,155.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,172 : 982,746 = 982,746 : x
  2. Step 2: Convert to fraction form
    449,172/982,746 = 982,746/x
  3. Step 3: Cross multiply
    449,172x = 982,746 × 982,746
  4. Step 4: Simplify right side
    449,172x = 965,789,700,516
  5. Step 5: Solve for x
    x = 965,789,700,516/449,172
  6. Step 6: Final answer
    x = 2,150,155.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.