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Finding the Third Proportional to 415,756 and 898,036

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Solution

The third proportional to 415,756 and 898,036 is: 1,939,764.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,756 : 898,036 = 898,036 : x
  2. Step 2: Convert to fraction form
    415,756/898,036 = 898,036/x
  3. Step 3: Cross multiply
    415,756x = 898,036 × 898,036
  4. Step 4: Simplify right side
    415,756x = 806,468,657,296
  5. Step 5: Solve for x
    x = 806,468,657,296/415,756
  6. Step 6: Final answer
    x = 1,939,764.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.