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Finding the Third Proportional to 536,724 and 1,096,752

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Solution

The third proportional to 536,724 and 1,096,752 is: 2,241,123.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,724 : 1,096,752 = 1,096,752 : x
  2. Step 2: Convert to fraction form
    536,724/1,096,752 = 1,096,752/x
  3. Step 3: Cross multiply
    536,724x = 1,096,752 × 1,096,752
  4. Step 4: Simplify right side
    536,724x = 1,202,864,949,504
  5. Step 5: Solve for x
    x = 1,202,864,949,504/536,724
  6. Step 6: Final answer
    x = 2,241,123.84

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