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Finding the Third Proportional to 700,576 and 1,536,728

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Solution

The third proportional to 700,576 and 1,536,728 is: 3,370,844.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,576 : 1,536,728 = 1,536,728 : x
  2. Step 2: Convert to fraction form
    700,576/1,536,728 = 1,536,728/x
  3. Step 3: Cross multiply
    700,576x = 1,536,728 × 1,536,728
  4. Step 4: Simplify right side
    700,576x = 2,361,532,945,984
  5. Step 5: Solve for x
    x = 2,361,532,945,984/700,576
  6. Step 6: Final answer
    x = 3,370,844.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.