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Finding the Third Proportional to 898,254 and 1,947,593

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Solution

The third proportional to 898,254 and 1,947,593 is: 4,222,768.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,254 : 1,947,593 = 1,947,593 : x
  2. Step 2: Convert to fraction form
    898,254/1,947,593 = 1,947,593/x
  3. Step 3: Cross multiply
    898,254x = 1,947,593 × 1,947,593
  4. Step 4: Simplify right side
    898,254x = 3,793,118,493,649
  5. Step 5: Solve for x
    x = 3,793,118,493,649/898,254
  6. Step 6: Final answer
    x = 4,222,768.27

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.