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Finding the Third Proportional to 898,224.19 and 1,914,035.06

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Solution

The third proportional to 898,224.19 and 1,914,035.06 is: 4,078,636.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,224.19 : 1,914,035.06 = 1,914,035.06 : x
  2. Step 2: Convert to fraction form
    898,224.19/1,914,035.06 = 1,914,035.06/x
  3. Step 3: Cross multiply
    898,224.19x = 1,914,035.06 × 1,914,035.06
  4. Step 4: Simplify right side
    898,224.19x = 3,663,530,220,479.38
  5. Step 5: Solve for x
    x = 3,663,530,220,479.38/898,224.19
  6. Step 6: Final answer
    x = 4,078,636.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.