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Finding the Third Proportional to 456,394 and 1,017,728

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Solution

The third proportional to 456,394 and 1,017,728 is: 2,269,465.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,394 : 1,017,728 = 1,017,728 : x
  2. Step 2: Convert to fraction form
    456,394/1,017,728 = 1,017,728/x
  3. Step 3: Cross multiply
    456,394x = 1,017,728 × 1,017,728
  4. Step 4: Simplify right side
    456,394x = 1,035,770,281,984
  5. Step 5: Solve for x
    x = 1,035,770,281,984/456,394
  6. Step 6: Final answer
    x = 2,269,465.16

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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.