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Finding the Third Proportional to 664,922 and 1,462,684

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Solution

The third proportional to 664,922 and 1,462,684 is: 3,217,587.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,922 : 1,462,684 = 1,462,684 : x
  2. Step 2: Convert to fraction form
    664,922/1,462,684 = 1,462,684/x
  3. Step 3: Cross multiply
    664,922x = 1,462,684 × 1,462,684
  4. Step 4: Simplify right side
    664,922x = 2,139,444,483,856
  5. Step 5: Solve for x
    x = 2,139,444,483,856/664,922
  6. Step 6: Final answer
    x = 3,217,587.15

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