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Finding the Third Proportional to 1,474,920 and 3,216,816

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Solution

The third proportional to 1,474,920 and 3,216,816 is: 7,015,909.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474,920 : 3,216,816 = 3,216,816 : x
  2. Step 2: Convert to fraction form
    1,474,920/3,216,816 = 3,216,816/x
  3. Step 3: Cross multiply
    1,474,920x = 3,216,816 × 3,216,816
  4. Step 4: Simplify right side
    1,474,920x = 10,347,905,177,856
  5. Step 5: Solve for x
    x = 10,347,905,177,856/1,474,920
  6. Step 6: Final answer
    x = 7,015,909.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.