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Finding the Third Proportional to 2,145,744 and 4,660,545

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Solution

The third proportional to 2,145,744 and 4,660,545 is: 10,122,679.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145,744 : 4,660,545 = 4,660,545 : x
  2. Step 2: Convert to fraction form
    2,145,744/4,660,545 = 4,660,545/x
  3. Step 3: Cross multiply
    2,145,744x = 4,660,545 × 4,660,545
  4. Step 4: Simplify right side
    2,145,744x = 21,720,679,697,025
  5. Step 5: Solve for x
    x = 21,720,679,697,025/2,145,744
  6. Step 6: Final answer
    x = 10,122,679.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.