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Finding the Third Proportional to 643,392 and 1,413,684

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Solution

The third proportional to 643,392 and 1,413,684 is: 3,106,197.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,392 : 1,413,684 = 1,413,684 : x
  2. Step 2: Convert to fraction form
    643,392/1,413,684 = 1,413,684/x
  3. Step 3: Cross multiply
    643,392x = 1,413,684 × 1,413,684
  4. Step 4: Simplify right side
    643,392x = 1,998,502,451,856
  5. Step 5: Solve for x
    x = 1,998,502,451,856/643,392
  6. Step 6: Final answer
    x = 3,106,197.24

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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.