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Finding the Third Proportional to 647,704 and 905,736

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Solution

The third proportional to 647,704 and 905,736 is: 1,266,562.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,704 : 905,736 = 905,736 : x
  2. Step 2: Convert to fraction form
    647,704/905,736 = 905,736/x
  3. Step 3: Cross multiply
    647,704x = 905,736 × 905,736
  4. Step 4: Simplify right side
    647,704x = 820,357,701,696
  5. Step 5: Solve for x
    x = 820,357,701,696/647,704
  6. Step 6: Final answer
    x = 1,266,562.66

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.