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Finding the Third Proportional to 693,096 and 1,102,732

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Solution

The third proportional to 693,096 and 1,102,732 is: 1,754,472.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,096 : 1,102,732 = 1,102,732 : x
  2. Step 2: Convert to fraction form
    693,096/1,102,732 = 1,102,732/x
  3. Step 3: Cross multiply
    693,096x = 1,102,732 × 1,102,732
  4. Step 4: Simplify right side
    693,096x = 1,216,017,863,824
  5. Step 5: Solve for x
    x = 1,216,017,863,824/693,096
  6. Step 6: Final answer
    x = 1,754,472.49

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.