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Finding the Third Proportional to 898,274 and 1,965,508

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Solution

The third proportional to 898,274 and 1,965,508 is: 4,300,716.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,274 : 1,965,508 = 1,965,508 : x
  2. Step 2: Convert to fraction form
    898,274/1,965,508 = 1,965,508/x
  3. Step 3: Cross multiply
    898,274x = 1,965,508 × 1,965,508
  4. Step 4: Simplify right side
    898,274x = 3,863,221,698,064
  5. Step 5: Solve for x
    x = 3,863,221,698,064/898,274
  6. Step 6: Final answer
    x = 4,300,716.37

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.