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Finding the Third Proportional to 898,826 and 1,908,456

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Solution

The third proportional to 898,826 and 1,908,456 is: 4,052,179.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,826 : 1,908,456 = 1,908,456 : x
  2. Step 2: Convert to fraction form
    898,826/1,908,456 = 1,908,456/x
  3. Step 3: Cross multiply
    898,826x = 1,908,456 × 1,908,456
  4. Step 4: Simplify right side
    898,826x = 3,642,204,303,936
  5. Step 5: Solve for x
    x = 3,642,204,303,936/898,826
  6. Step 6: Final answer
    x = 4,052,179.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.