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Finding the Third Proportional to 711,864 and 1,482,777

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Solution

The third proportional to 711,864 and 1,482,777 is: 3,088,550.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,864 : 1,482,777 = 1,482,777 : x
  2. Step 2: Convert to fraction form
    711,864/1,482,777 = 1,482,777/x
  3. Step 3: Cross multiply
    711,864x = 1,482,777 × 1,482,777
  4. Step 4: Simplify right side
    711,864x = 2,198,627,631,729
  5. Step 5: Solve for x
    x = 2,198,627,631,729/711,864
  6. Step 6: Final answer
    x = 3,088,550.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.