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Finding the Third Proportional to 864,472 and 1,388,970

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Solution

The third proportional to 864,472 and 1,388,970 is: 2,231,694.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,472 : 1,388,970 = 1,388,970 : x
  2. Step 2: Convert to fraction form
    864,472/1,388,970 = 1,388,970/x
  3. Step 3: Cross multiply
    864,472x = 1,388,970 × 1,388,970
  4. Step 4: Simplify right side
    864,472x = 1,929,237,660,900
  5. Step 5: Solve for x
    x = 1,929,237,660,900/864,472
  6. Step 6: Final answer
    x = 2,231,694.79

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.