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Finding the Third Proportional to 438,048 and 896,832

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Solution

The third proportional to 438,048 and 896,832 is: 1,836,117.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,048 : 896,832 = 896,832 : x
  2. Step 2: Convert to fraction form
    438,048/896,832 = 896,832/x
  3. Step 3: Cross multiply
    438,048x = 896,832 × 896,832
  4. Step 4: Simplify right side
    438,048x = 804,307,636,224
  5. Step 5: Solve for x
    x = 804,307,636,224/438,048
  6. Step 6: Final answer
    x = 1,836,117.59

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.