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Finding the Third Proportional to 784,578 and 1,677,048

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Solution

The third proportional to 784,578 and 1,677,048 is: 3,584,716.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,578 : 1,677,048 = 1,677,048 : x
  2. Step 2: Convert to fraction form
    784,578/1,677,048 = 1,677,048/x
  3. Step 3: Cross multiply
    784,578x = 1,677,048 × 1,677,048
  4. Step 4: Simplify right side
    784,578x = 2,812,489,994,304
  5. Step 5: Solve for x
    x = 2,812,489,994,304/784,578
  6. Step 6: Final answer
    x = 3,584,716.87

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.