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Finding the Third Proportional to 787,584 and 1,188,582

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Solution

The third proportional to 787,584 and 1,188,582 is: 1,793,747.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,584 : 1,188,582 = 1,188,582 : x
  2. Step 2: Convert to fraction form
    787,584/1,188,582 = 1,188,582/x
  3. Step 3: Cross multiply
    787,584x = 1,188,582 × 1,188,582
  4. Step 4: Simplify right side
    787,584x = 1,412,727,170,724
  5. Step 5: Solve for x
    x = 1,412,727,170,724/787,584
  6. Step 6: Final answer
    x = 1,793,747.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.