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Finding the Third Proportional to 1,689,344 and 3,517,984

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Solution

The third proportional to 1,689,344 and 3,517,984 is: 7,326,045.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689,344 : 3,517,984 = 3,517,984 : x
  2. Step 2: Convert to fraction form
    1,689,344/3,517,984 = 3,517,984/x
  3. Step 3: Cross multiply
    1,689,344x = 3,517,984 × 3,517,984
  4. Step 4: Simplify right side
    1,689,344x = 12,376,211,424,256
  5. Step 5: Solve for x
    x = 12,376,211,424,256/1,689,344
  6. Step 6: Final answer
    x = 7,326,045.75

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.