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Finding the Third Proportional to 938,336 and 2,048,695

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Solution

The third proportional to 938,336 and 2,048,695 is: 4,472,972.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,336 : 2,048,695 = 2,048,695 : x
  2. Step 2: Convert to fraction form
    938,336/2,048,695 = 2,048,695/x
  3. Step 3: Cross multiply
    938,336x = 2,048,695 × 2,048,695
  4. Step 4: Simplify right side
    938,336x = 4,197,151,203,025
  5. Step 5: Solve for x
    x = 4,197,151,203,025/938,336
  6. Step 6: Final answer
    x = 4,472,972.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.