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Finding the Third Proportional to 784,728 and 1,694,952

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Solution

The third proportional to 784,728 and 1,694,952 is: 3,660,965.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,728 : 1,694,952 = 1,694,952 : x
  2. Step 2: Convert to fraction form
    784,728/1,694,952 = 1,694,952/x
  3. Step 3: Cross multiply
    784,728x = 1,694,952 × 1,694,952
  4. Step 4: Simplify right side
    784,728x = 2,872,862,282,304
  5. Step 5: Solve for x
    x = 2,872,862,282,304/784,728
  6. Step 6: Final answer
    x = 3,660,965.69

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.