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Finding the Third Proportional to 3,153,846 and 4,941,765

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Solution

The third proportional to 3,153,846 and 4,941,765 is: 7,743,257.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153,846 : 4,941,765 = 4,941,765 : x
  2. Step 2: Convert to fraction form
    3,153,846/4,941,765 = 4,941,765/x
  3. Step 3: Cross multiply
    3,153,846x = 4,941,765 × 4,941,765
  4. Step 4: Simplify right side
    3,153,846x = 24,421,041,315,225
  5. Step 5: Solve for x
    x = 24,421,041,315,225/3,153,846
  6. Step 6: Final answer
    x = 7,743,257.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.