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Finding the Third Proportional to 857,732 and 1,864,864

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Solution

The third proportional to 857,732 and 1,864,864 is: 4,054,550.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,732 : 1,864,864 = 1,864,864 : x
  2. Step 2: Convert to fraction form
    857,732/1,864,864 = 1,864,864/x
  3. Step 3: Cross multiply
    857,732x = 1,864,864 × 1,864,864
  4. Step 4: Simplify right side
    857,732x = 3,477,717,738,496
  5. Step 5: Solve for x
    x = 3,477,717,738,496/857,732
  6. Step 6: Final answer
    x = 4,054,550.53

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.