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Finding the Third Proportional to 898,048 and 1,920,616

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Solution

The third proportional to 898,048 and 1,920,616 is: 4,107,537.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,048 : 1,920,616 = 1,920,616 : x
  2. Step 2: Convert to fraction form
    898,048/1,920,616 = 1,920,616/x
  3. Step 3: Cross multiply
    898,048x = 1,920,616 × 1,920,616
  4. Step 4: Simplify right side
    898,048x = 3,688,765,819,456
  5. Step 5: Solve for x
    x = 3,688,765,819,456/898,048
  6. Step 6: Final answer
    x = 4,107,537.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.