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Finding the Third Proportional to 415,749 and 898,027

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Solution

The third proportional to 415,749 and 898,027 is: 1,939,758.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,749 : 898,027 = 898,027 : x
  2. Step 2: Convert to fraction form
    415,749/898,027 = 898,027/x
  3. Step 3: Cross multiply
    415,749x = 898,027 × 898,027
  4. Step 4: Simplify right side
    415,749x = 806,452,492,729
  5. Step 5: Solve for x
    x = 806,452,492,729/415,749
  6. Step 6: Final answer
    x = 1,939,758.11

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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.