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Finding the Third Proportional to 536,712 and 1,096,728

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Solution

The third proportional to 536,712 and 1,096,728 is: 2,241,075.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,712 : 1,096,728 = 1,096,728 : x
  2. Step 2: Convert to fraction form
    536,712/1,096,728 = 1,096,728/x
  3. Step 3: Cross multiply
    536,712x = 1,096,728 × 1,096,728
  4. Step 4: Simplify right side
    536,712x = 1,202,812,305,984
  5. Step 5: Solve for x
    x = 1,202,812,305,984/536,712
  6. Step 6: Final answer
    x = 2,241,075.86

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.