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Finding the Third Proportional to 684,682 and 1,007,634

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Solution

The third proportional to 684,682 and 1,007,634 is: 1,482,916.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,682 : 1,007,634 = 1,007,634 : x
  2. Step 2: Convert to fraction form
    684,682/1,007,634 = 1,007,634/x
  3. Step 3: Cross multiply
    684,682x = 1,007,634 × 1,007,634
  4. Step 4: Simplify right side
    684,682x = 1,015,326,277,956
  5. Step 5: Solve for x
    x = 1,015,326,277,956/684,682
  6. Step 6: Final answer
    x = 1,482,916.56

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.