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Finding the Third Proportional to 693,017 and 1,036,704

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Solution

The third proportional to 693,017 and 1,036,704 is: 1,550,835.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,017 : 1,036,704 = 1,036,704 : x
  2. Step 2: Convert to fraction form
    693,017/1,036,704 = 1,036,704/x
  3. Step 3: Cross multiply
    693,017x = 1,036,704 × 1,036,704
  4. Step 4: Simplify right side
    693,017x = 1,074,755,183,616
  5. Step 5: Solve for x
    x = 1,074,755,183,616/693,017
  6. Step 6: Final answer
    x = 1,550,835.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.