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Finding the Third Proportional to 677,412 and 1,462,824

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Solution

The third proportional to 677,412 and 1,462,824 is: 3,158,866.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,412 : 1,462,824 = 1,462,824 : x
  2. Step 2: Convert to fraction form
    677,412/1,462,824 = 1,462,824/x
  3. Step 3: Cross multiply
    677,412x = 1,462,824 × 1,462,824
  4. Step 4: Simplify right side
    677,412x = 2,139,854,054,976
  5. Step 5: Solve for x
    x = 2,139,854,054,976/677,412
  6. Step 6: Final answer
    x = 3,158,866.47

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.