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Finding the Third Proportional to 456,398 and 1,017,735

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Solution

The third proportional to 456,398 and 1,017,735 is: 2,269,476.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,398 : 1,017,735 = 1,017,735 : x
  2. Step 2: Convert to fraction form
    456,398/1,017,735 = 1,017,735/x
  3. Step 3: Cross multiply
    456,398x = 1,017,735 × 1,017,735
  4. Step 4: Simplify right side
    456,398x = 1,035,784,530,225
  5. Step 5: Solve for x
    x = 1,035,784,530,225/456,398
  6. Step 6: Final answer
    x = 2,269,476.49

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.