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Finding the Third Proportional to 664,646 and 1,462,148

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Solution

The third proportional to 664,646 and 1,462,148 is: 3,216,564.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,646 : 1,462,148 = 1,462,148 : x
  2. Step 2: Convert to fraction form
    664,646/1,462,148 = 1,462,148/x
  3. Step 3: Cross multiply
    664,646x = 1,462,148 × 1,462,148
  4. Step 4: Simplify right side
    664,646x = 2,137,876,773,904
  5. Step 5: Solve for x
    x = 2,137,876,773,904/664,646
  6. Step 6: Final answer
    x = 3,216,564.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.