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Finding the Third Proportional to 2,177,320 and 4,728,536

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Solution

The third proportional to 2,177,320 and 4,728,536 is: 10,269,070.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177,320 : 4,728,536 = 4,728,536 : x
  2. Step 2: Convert to fraction form
    2,177,320/4,728,536 = 4,728,536/x
  3. Step 3: Cross multiply
    2,177,320x = 4,728,536 × 4,728,536
  4. Step 4: Simplify right side
    2,177,320x = 22,359,052,703,296
  5. Step 5: Solve for x
    x = 22,359,052,703,296/2,177,320
  6. Step 6: Final answer
    x = 10,269,070.56

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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.