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Finding the Third Proportional to 415,864 and 898,100

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Solution

The third proportional to 415,864 and 898,100 is: 1,939,536.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,864 : 898,100 = 898,100 : x
  2. Step 2: Convert to fraction form
    415,864/898,100 = 898,100/x
  3. Step 3: Cross multiply
    415,864x = 898,100 × 898,100
  4. Step 4: Simplify right side
    415,864x = 806,583,610,000
  5. Step 5: Solve for x
    x = 806,583,610,000/415,864
  6. Step 6: Final answer
    x = 1,939,536.99

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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.