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Finding the Third Proportional to 898,738 and 1,908,308

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Solution

The third proportional to 898,738 and 1,908,308 is: 4,051,947.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,738 : 1,908,308 = 1,908,308 : x
  2. Step 2: Convert to fraction form
    898,738/1,908,308 = 1,908,308/x
  3. Step 3: Cross multiply
    898,738x = 1,908,308 × 1,908,308
  4. Step 4: Simplify right side
    898,738x = 3,641,639,422,864
  5. Step 5: Solve for x
    x = 3,641,639,422,864/898,738
  6. Step 6: Final answer
    x = 4,051,947.76

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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.