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Finding the Third Proportional to 2,181,315 and 4,563,078

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Solution

The third proportional to 2,181,315 and 4,563,078 is: 9,545,471.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181,315 : 4,563,078 = 4,563,078 : x
  2. Step 2: Convert to fraction form
    2,181,315/4,563,078 = 4,563,078/x
  3. Step 3: Cross multiply
    2,181,315x = 4,563,078 × 4,563,078
  4. Step 4: Simplify right side
    2,181,315x = 20,821,680,834,084
  5. Step 5: Solve for x
    x = 20,821,680,834,084/2,181,315
  6. Step 6: Final answer
    x = 9,545,471.81

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.