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Finding the Third Proportional to 3,039,822 and 4,743,765

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Solution

The third proportional to 3,039,822 and 4,743,765 is: 7,402,836.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,039,822 : 4,743,765 = 4,743,765 : x
  2. Step 2: Convert to fraction form
    3,039,822/4,743,765 = 4,743,765/x
  3. Step 3: Cross multiply
    3,039,822x = 4,743,765 × 4,743,765
  4. Step 4: Simplify right side
    3,039,822x = 22,503,306,375,225
  5. Step 5: Solve for x
    x = 22,503,306,375,225/3,039,822
  6. Step 6: Final answer
    x = 7,402,836.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.