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Finding the Third Proportional to 600,732 and 1,396,854

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Solution

The third proportional to 600,732 and 1,396,854 is: 3,248,039.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,732 : 1,396,854 = 1,396,854 : x
  2. Step 2: Convert to fraction form
    600,732/1,396,854 = 1,396,854/x
  3. Step 3: Cross multiply
    600,732x = 1,396,854 × 1,396,854
  4. Step 4: Simplify right side
    600,732x = 1,951,201,097,316
  5. Step 5: Solve for x
    x = 1,951,201,097,316/600,732
  6. Step 6: Final answer
    x = 3,248,039.22

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.