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Finding the Third Proportional to 388,919 and 831,786

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Solution

The third proportional to 388,919 and 831,786 is: 1,778,951.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,919 : 831,786 = 831,786 : x
  2. Step 2: Convert to fraction form
    388,919/831,786 = 831,786/x
  3. Step 3: Cross multiply
    388,919x = 831,786 × 831,786
  4. Step 4: Simplify right side
    388,919x = 691,867,949,796
  5. Step 5: Solve for x
    x = 691,867,949,796/388,919
  6. Step 6: Final answer
    x = 1,778,951.27

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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.