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Finding the Third Proportional to 767,388 and 1,614,318

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Solution

The third proportional to 767,388 and 1,614,318 is: 3,395,964.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,388 : 1,614,318 = 1,614,318 : x
  2. Step 2: Convert to fraction form
    767,388/1,614,318 = 1,614,318/x
  3. Step 3: Cross multiply
    767,388x = 1,614,318 × 1,614,318
  4. Step 4: Simplify right side
    767,388x = 2,606,022,605,124
  5. Step 5: Solve for x
    x = 2,606,022,605,124/767,388
  6. Step 6: Final answer
    x = 3,395,964.76

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.