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Finding the Third Proportional to 898,398 and 1,947,883.50

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Solution

The third proportional to 898,398 and 1,947,883.50 is: 4,223,351.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,398 : 1,947,883.50 = 1,947,883.50 : x
  2. Step 2: Convert to fraction form
    898,398/1,947,883.50 = 1,947,883.50/x
  3. Step 3: Cross multiply
    898,398x = 1,947,883.50 × 1,947,883.50
  4. Step 4: Simplify right side
    898,398x = 3,794,250,129,572.25
  5. Step 5: Solve for x
    x = 3,794,250,129,572.25/898,398
  6. Step 6: Final answer
    x = 4,223,351.04

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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.