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Finding the Third Proportional to 669,957 and 1,460,172

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Solution

The third proportional to 669,957 and 1,460,172 is: 3,182,446.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,957 : 1,460,172 = 1,460,172 : x
  2. Step 2: Convert to fraction form
    669,957/1,460,172 = 1,460,172/x
  3. Step 3: Cross multiply
    669,957x = 1,460,172 × 1,460,172
  4. Step 4: Simplify right side
    669,957x = 2,132,102,269,584
  5. Step 5: Solve for x
    x = 2,132,102,269,584/669,957
  6. Step 6: Final answer
    x = 3,182,446.44

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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.